3 years ago

27

1 answer:

6 0

Answer:

A ≈ 35.3 units²

Step-by-step explanation:

Calculate the radius CB using Pythagoras' identity in the right triangle.

CB² + AB² = AC²

CB² + 6² = 9²

CB² + 36 = 81 ( subtract 36 from both sides )

CB² = 45 = r²

Then area of quarter circle is

A = $\frac{1}{4}$ × πr² = $\frac{1}{4}$ × π × 45 ≈ 35.3

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