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JulsSmile [24]
3 years ago
7

(20 points to correct answer)

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
3 0

Answer:

The area of a sector GHJ is 36.3\ cm^{2}

Step-by-step 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

\frac{64\pi}{360}=\frac{x}{65}\\ \\x=64\pi (65)/360

Use \pi =3.14

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

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