How to find the length of a side of a polygon - PSAT Math
Card 0 of 21
If the following shape was going to be drawn in a circle, what is the minimum radius of the circle?

If the following shape was going to be drawn in a circle, what is the minimum radius of the circle?

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IF you draw the longest diagonal across the shape, the length of it is 13.4. This means the radius must be at least 6.7. The answer is 7.
IF you draw the longest diagonal across the shape, the length of it is 13.4. This means the radius must be at least 6.7. The answer is 7.

Note: Figure NOT drawn to scale.
The above polygon has perimeter 190. Evaluate
.

Note: Figure NOT drawn to scale.
The above polygon has perimeter 190. Evaluate .
Tap to see back →
To get the expression equivalent to the perimeter, add the lengths of the sides:

Since the perimeter is 190, we can simplify this to

and solve as follows:



To get the expression equivalent to the perimeter, add the lengths of the sides:
Since the perimeter is 190, we can simplify this to
and solve as follows:

Note: Figure NOT drawn to scale.
The perimeter of the above polygon is 225. Also,
.
Evaluate
.

Note: Figure NOT drawn to scale.
The perimeter of the above polygon is 225. Also, .
Evaluate .
Tap to see back →
To get the expression equivalent to the perimeter, add the lengths of the sides:

Since the perimeter is 225, we can simplify this to

and, furthermore, since
,






To get the expression equivalent to the perimeter, add the lengths of the sides:
Since the perimeter is 225, we can simplify this to
and, furthermore, since ,
If the following shape was going to be drawn in a circle, what is the minimum radius of the circle?

If the following shape was going to be drawn in a circle, what is the minimum radius of the circle?

Tap to see back →
IF you draw the longest diagonal across the shape, the length of it is 13.4. This means the radius must be at least 6.7. The answer is 7.
IF you draw the longest diagonal across the shape, the length of it is 13.4. This means the radius must be at least 6.7. The answer is 7.

Note: Figure NOT drawn to scale.
The above polygon has perimeter 190. Evaluate
.

Note: Figure NOT drawn to scale.
The above polygon has perimeter 190. Evaluate .
Tap to see back →
To get the expression equivalent to the perimeter, add the lengths of the sides:

Since the perimeter is 190, we can simplify this to

and solve as follows:



To get the expression equivalent to the perimeter, add the lengths of the sides:
Since the perimeter is 190, we can simplify this to
and solve as follows:

Note: Figure NOT drawn to scale.
The perimeter of the above polygon is 225. Also,
.
Evaluate
.

Note: Figure NOT drawn to scale.
The perimeter of the above polygon is 225. Also, .
Evaluate .
Tap to see back →
To get the expression equivalent to the perimeter, add the lengths of the sides:

Since the perimeter is 225, we can simplify this to

and, furthermore, since
,






To get the expression equivalent to the perimeter, add the lengths of the sides:
Since the perimeter is 225, we can simplify this to
and, furthermore, since ,
If the following shape was going to be drawn in a circle, what is the minimum radius of the circle?

If the following shape was going to be drawn in a circle, what is the minimum radius of the circle?

Tap to see back →
IF you draw the longest diagonal across the shape, the length of it is 13.4. This means the radius must be at least 6.7. The answer is 7.
IF you draw the longest diagonal across the shape, the length of it is 13.4. This means the radius must be at least 6.7. The answer is 7.

Note: Figure NOT drawn to scale.
The above polygon has perimeter 190. Evaluate
.

Note: Figure NOT drawn to scale.
The above polygon has perimeter 190. Evaluate .
Tap to see back →
To get the expression equivalent to the perimeter, add the lengths of the sides:

Since the perimeter is 190, we can simplify this to

and solve as follows:



To get the expression equivalent to the perimeter, add the lengths of the sides:
Since the perimeter is 190, we can simplify this to
and solve as follows:

Note: Figure NOT drawn to scale.
The perimeter of the above polygon is 225. Also,
.
Evaluate
.

Note: Figure NOT drawn to scale.
The perimeter of the above polygon is 225. Also, .
Evaluate .
Tap to see back →
To get the expression equivalent to the perimeter, add the lengths of the sides:

Since the perimeter is 225, we can simplify this to

and, furthermore, since
,






To get the expression equivalent to the perimeter, add the lengths of the sides:
Since the perimeter is 225, we can simplify this to
and, furthermore, since ,
If the following shape was going to be drawn in a circle, what is the minimum radius of the circle?

If the following shape was going to be drawn in a circle, what is the minimum radius of the circle?

Tap to see back →
IF you draw the longest diagonal across the shape, the length of it is 13.4. This means the radius must be at least 6.7. The answer is 7.
IF you draw the longest diagonal across the shape, the length of it is 13.4. This means the radius must be at least 6.7. The answer is 7.

Note: Figure NOT drawn to scale.
The above polygon has perimeter 190. Evaluate
.

Note: Figure NOT drawn to scale.
The above polygon has perimeter 190. Evaluate .
Tap to see back →
To get the expression equivalent to the perimeter, add the lengths of the sides:

Since the perimeter is 190, we can simplify this to

and solve as follows:



To get the expression equivalent to the perimeter, add the lengths of the sides:
Since the perimeter is 190, we can simplify this to
and solve as follows:

Note: Figure NOT drawn to scale.
The perimeter of the above polygon is 225. Also,
.
Evaluate
.

Note: Figure NOT drawn to scale.
The perimeter of the above polygon is 225. Also, .
Evaluate .
Tap to see back →
To get the expression equivalent to the perimeter, add the lengths of the sides:

Since the perimeter is 225, we can simplify this to

and, furthermore, since
,






To get the expression equivalent to the perimeter, add the lengths of the sides:
Since the perimeter is 225, we can simplify this to
and, furthermore, since ,
If the following shape was going to be drawn in a circle, what is the minimum radius of the circle?

If the following shape was going to be drawn in a circle, what is the minimum radius of the circle?

Tap to see back →
IF you draw the longest diagonal across the shape, the length of it is 13.4. This means the radius must be at least 6.7. The answer is 7.
IF you draw the longest diagonal across the shape, the length of it is 13.4. This means the radius must be at least 6.7. The answer is 7.

Note: Figure NOT drawn to scale.
The above polygon has perimeter 190. Evaluate
.

Note: Figure NOT drawn to scale.
The above polygon has perimeter 190. Evaluate .
Tap to see back →
To get the expression equivalent to the perimeter, add the lengths of the sides:

Since the perimeter is 190, we can simplify this to

and solve as follows:



To get the expression equivalent to the perimeter, add the lengths of the sides:
Since the perimeter is 190, we can simplify this to
and solve as follows:

Note: Figure NOT drawn to scale.
The perimeter of the above polygon is 225. Also,
.
Evaluate
.

Note: Figure NOT drawn to scale.
The perimeter of the above polygon is 225. Also, .
Evaluate .
Tap to see back →
To get the expression equivalent to the perimeter, add the lengths of the sides:

Since the perimeter is 225, we can simplify this to

and, furthermore, since
,






To get the expression equivalent to the perimeter, add the lengths of the sides:
Since the perimeter is 225, we can simplify this to
and, furthermore, since ,
If the following shape was going to be drawn in a circle, what is the minimum radius of the circle?

If the following shape was going to be drawn in a circle, what is the minimum radius of the circle?

Tap to see back →
IF you draw the longest diagonal across the shape, the length of it is 13.4. This means the radius must be at least 6.7. The answer is 7.
IF you draw the longest diagonal across the shape, the length of it is 13.4. This means the radius must be at least 6.7. The answer is 7.

Note: Figure NOT drawn to scale.
The above polygon has perimeter 190. Evaluate
.

Note: Figure NOT drawn to scale.
The above polygon has perimeter 190. Evaluate .
Tap to see back →
To get the expression equivalent to the perimeter, add the lengths of the sides:

Since the perimeter is 190, we can simplify this to

and solve as follows:



To get the expression equivalent to the perimeter, add the lengths of the sides:
Since the perimeter is 190, we can simplify this to
and solve as follows:

Note: Figure NOT drawn to scale.
The perimeter of the above polygon is 225. Also,
.
Evaluate
.

Note: Figure NOT drawn to scale.
The perimeter of the above polygon is 225. Also, .
Evaluate .
Tap to see back →
To get the expression equivalent to the perimeter, add the lengths of the sides:

Since the perimeter is 225, we can simplify this to

and, furthermore, since
,






To get the expression equivalent to the perimeter, add the lengths of the sides:
Since the perimeter is 225, we can simplify this to
and, furthermore, since ,
If the following shape was going to be drawn in a circle, what is the minimum radius of the circle?

If the following shape was going to be drawn in a circle, what is the minimum radius of the circle?

Tap to see back →
IF you draw the longest diagonal across the shape, the length of it is 13.4. This means the radius must be at least 6.7. The answer is 7.
IF you draw the longest diagonal across the shape, the length of it is 13.4. This means the radius must be at least 6.7. The answer is 7.

Note: Figure NOT drawn to scale.
The above polygon has perimeter 190. Evaluate
.

Note: Figure NOT drawn to scale.
The above polygon has perimeter 190. Evaluate .
Tap to see back →
To get the expression equivalent to the perimeter, add the lengths of the sides:

Since the perimeter is 190, we can simplify this to

and solve as follows:



To get the expression equivalent to the perimeter, add the lengths of the sides:
Since the perimeter is 190, we can simplify this to
and solve as follows: