AnswersSSCR 26 Math Essentials BArea of Special Quadrilaterals

Area of a Circle Answers

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Morgan has completed the mathematical statements shown below. Which statements are true regarding these formulas? Select three options.

Question illustration
A
The numerical values of the area and circumference are equal when .
Option A
B
The numerical value of the area is less than the numerical value of the circumference when .
Option B
C
The numerical value of the area is greater than the numerical value of the circumference when .
Option C
D
The numerical value of the area is less than the numerical value of the circumference when .
Option D
E
The numerical value of the area is greater than the numerical value of the circumference when .
Option E
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Kylie drew a circle with a diameter of 8 cm. Paige drew a circle with a radius of 3 cm. Approximately how much larger is the area of Kylie’s circle than the area of Paige’s circle? Use 3.14 for and round to the nearest whole number.

Question illustration
A
22 centimeters squared
Option A
B
88 centimeters squared
Option B
C
173 centimeters squared
Option C
D
351 centimeters squared
Option D
3

Sarah only knows the diameter of a circle. What should she do to find the radius?

A
Multiply the diameter by 2.
B
Divide the diameter by 2.
C
Multiply the diameter by .
Option C
D
Divide the diameter by .
Option D
4

A target has a bull’s-eye with a diameter of 2 inches. The outer ring is 1 inch wide. What is the area of the outer ring?

Question illustration
A
1 pi inches squared
Option A
B
3 pi inches squared
Option B
C
5 pi inches squared
Option C
D
12 pi inches squared
Option D
5

What is the height of the shape formed by the sectors shown below?

Question illustration
A
r
Option A
B
d
Option B
C
pi times r
Option C
D
Pi times d
Option D
6

Avery planned a circular garden and path as shown below. The radius of the garden is 4 feet and the path around the garden is 2 feet wide. What is the total area of the garden and path? (Use 3.14 for and round to the nearest tenth.)

Question illustration
A
50.2 feet squared
Option A
B
78.5 feet squared
Option B
C
113.0 feet squared
Option C
D
210.0 feet squared
Option D
7

The diameter of a circle is 8 inches. What is the area?

A
8 pi inches squared
Option A
B
16 pi inches squared
Option B
C
32 pi inches squared
Option C
D
64 pi inches squared
Option D
8

The circle has a diameter of 16 inches. What is the area of the circle, rounded to the nearest square inch?

Question illustration
A
64
B
79
C
201
D
804
9

A circle fits in a square with sides of 12 inches. What is the approximate area of the shaded region between the square and the circle? (Use 3.14 for and round to the nearest whole number.)

Question illustration
A
31 inches squared
Option A
B
69 inches squared
Option B
C
106 inches squared
Option C
D
125 inches squared
Option D
10

A circle has a circumference of cm. Which statement about the circumference and area is true?

Question illustration
A
A comparison of the area and circumference is not possible since the area cannot be determined.
B
The numerical values of the circumference and area of the circle are equal.
C
The numerical value of the circumference is greater than the numerical value of the area.
D
The numerical value of the circumference is less than the numerical value of the area.

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