3 years ago

What’s the answer?? help

Mathematics

1 answer:

viva [34]3 years ago

6 0

5/7. Use rise over run it helps

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What is the area of a sector with a central angle of 108 degrees and a diameter of 21.2 cm?

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Answer:

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Step-by-step explanation:

step 1

Find the area of the circle

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$A=\pi r^{2}$

we have

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substitute

$A=\pi (10.6)^{2}$

$A=112.36\pi\ cm^2$

step 2

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Remember that

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

using proportion

Find out the area of a sector with a central angle of 108 degrees

$\frac{112.36\pi}{360^o}=\frac{x}{108^o}\\\\x=112.36\pi(108)/360\\\\x=33.708\pi\ cm^2$

assume

$\pi=3.14$

substitute

$33.708(3.14)=105.84\ cm^2$

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