# Area of Circles - Complex and Inscribed Figures (Grade 7)

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## Area of Circles - Complex and Inscribed Figures

1.

What is the area of the circle if BC = 6?

- [math]6pi[/math]
- [math]9pi[/math]
- [math]24pi[/math]
- [math]36pi[/math]

2.

The length of a line drawn A to C is 8. What is the area of the circle?

- [math]4pi[/math]
- [math]8pi[/math]
- [math]16pi[/math]
- [math]64pi[/math]

3.

BC is the diameter of the semicircle. The area of rectangle ABCD is 20 and the length of line AB is 5. What is the area of the semicircle?

- [math]2pi[/math]
- [math]4pi[/math]
- [math]5pi[/math]
- [math]16pi[/math]

4.

If the area of the square is 100, which statement about the circle is true?

- It has an area of [math]5pi[/math]
- It has a radius of 10
- It has a diameter of 5
- It has a circumference of [math]10pi[/math]

5.

If the circle has an area of [math]49pi[/math], which statement about the square is true?

- BA = 7
- BD = 7
- AD = 14
- AC = 14

6.

The area of the semicircle is [math]18pi[/math]. The length of side AB = 8. Which statement about rectangle ABCD is true?

- Its area is 48
- Its area is 144
- Its perimeter is 40
- Its perimeter is 96

7.

The area of the square is 25. The area of the circle is 39. What is the area of the shaded regions?

- 14
- 56
- 64
- not enough information to determine

8.

The area of the circle is [math]64pi[/math]. Which expression should be used to find the area of the shaded regions?

- [math]64 - 8pi[/math]
- [math]8pi - 64[/math]
- [math]256-64pi[/math]
- [math]64pi-256[/math]

9.

Given the area of the semicircle, which of the following can be calculated?

- The length of CD
- The length of AD
- The length of BA
- The area of the entire figure.

10.

Given the circumference of the circle is [math]6pi[/math], what is the area of the square?

- 3
- 9
- 36
- 81

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