8

Set 3: Circles (Advanced)

Explanation

Answer: C

PROBLEM

Recent studies show that a circle has radius 4. What is the area of a 90-degree sector? (Express as a number times pi)

A circle has radius 4. What is the area of a 90-degree sector? (Express as a number times pi)

A.

8pi

B.

8pi

C.

4pi

✓ Correct
D.

16pi

Detailed Explanation

[Variation 1] Choice C is the best answer. Sector area = (90/360) times pi times 4 squared = 4pi

Why others are wrong:
A: 8pi is incorrect because it does not satisfy the equation.
B: 8pi is incorrect because it does not satisfy the equation.
D: 16pi is incorrect because it does not satisfy the equation.