Mathematics: Anyone want any POINTS

Anyone want any POINTS - id9461221, TPug24

blakeboy3148

01.04.2020

$18\pi\ cm^2$

Step-by-step explanation:

step 1

Find the area of complete circle

The area of the circle is given by the formula

$A=\pi r^{2}$

we have

$r=9\ cm$

substitute

$A=\pi (9)^{2}$

$A=81\pi\ cm^2$

step 2

Find the area of the shaded region

we know that

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

using proportion

Find out the area of the shaded region if the central angle is equal to 80 degrees

$\frac{81\pi}{360^o}=\frac{x}{80^o}\\\\x=81\pi(80)/360\\\\x= 18\pi\ cm^2$

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