Question

the area of sector with corresponding angle 45 degree is 8πcm^2 . what is the area of the circle?​

Answer 1

Answer:

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Answer 2

Answer:

64π cm²  

Step-by-step explanation:

There are 2 ways of doing this questions:

1. Solve for the radius, then find the area of the circle

2. Use proportion to solve the area of the circle

Using method 1:

Solve for radius:

Area of sector = θ/360 x πr²

45/360 x πr² = 8π

π/8 x r² = 8π

r² = 8π ÷ π/8

r² = 64

r = 8

Find the area of the circle:

Area of circle = πr²

Area of circle = π(8)²

Area of circle = 64π cm²

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Using method 2:

A circle has 360°

Given that

45° = 8π cm²

Multiply by 8:

8 x 45° = 8 x 8π cm²

360° = 64π cm²