1 Answer

Yilmazhuseyin · Answer 1 · 2021-11-30T03:57:35+0000

Answer:

Option B.
$78.8\ in^2$

Explanation:

step 1

Find the area of a circle with radius 8.5 inches

The area of a circle is equal to

$A=\pi r^(2)$

substitute

$A=\pi (8.5)^(2)$

$A=72.25\pi\ in^2$

step 2

Find put the approximate area of the fan

we know that

The area of complete circle subtends a central angle of 360 degrees

so

using proportion

Find the area that correspond a central angle of 125 degrees

$(72.25\pi)/(360^o)=(x)/(125^o)\\\\x=72.25\pi(125^o)/360^o\\\\x=25.09\pi\ in^2$

assume

$\pi =3.14$

$25.09(3.14)=78.8\ in^2$

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