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Find the area of sector GHJ given that θ=65°. Use 3.14 for π and round to the nearest tenth. Show your work and do not forget to include units in your final answer.

(20 points to correct answer) Find the area of sector GHJ given that θ=65°. Use 3.14 for-example-1

1 Answer

6 votes

Answer:

The area of a sector GHJ is
36.3\ cm^(2)

Explanation:

step 1

we know that

The area of a circle is equal to


A=\pi r^(2)

we have


r=8\ cm

substitute


A=\pi (8)^(2)


A=64\pi\ cm^(2)

step 2

Remember that the area of a complete circle subtends a central angle of 360 degrees

so

by proportion find the area of a sector by a central angle of 65 degrees


(64\pi)/(360)=(x)/(65)\\ \\x=64\pi (65)/360

Use
\pi =3.14


x=64(3.14)(65)/360=36.3\ cm^(2)

User DDukesterman
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