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Question

Determine the area of the given figure. circle d=10 ft

Solution

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Area of the circle is

A=πr2=π(d2)2A=\pi r^2=\pi \left(\frac{d}{2}\right)^2

where rr is the radius of the circle and dd is the diameter.

Given:

d=10  ftr=d2=102=5  ftd=10 \text{ \ ft} \Rightarrow r=\frac{d}{2}=\frac{10}{2}=5 \text{ \ ft}

So,

A=πr2=π(5)2=25π  ft2=25×3.1478.5  ft2A=\pi r^2=\pi (5)^2=25 \pi \text{ \ ft}^2 =25 \times 3.14 \approx 78.5 \text{ \ ft}^2

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