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Irina18 [472]
3 years ago
12

How can I solve this problem?

Mathematics
1 answer:
HACTEHA [7]3 years ago
7 0

Answer:

25*pi or

78.5 square units.

Step-by-step explanation:

If there was no shaded area, the area of the circle would be pi * r^2

r = 10

Area = pi * 10^2

Area = 100 * pi

Since there is a shaded area, the shaded part looks to be 1/4 of the whole. There's no indication of what it actually is, but 1/4 should be close enough.

Area_shade = 1/4 (100*pi)

Area_shade = 25 * pi

That's one answer.

Another is 25 * 3.14 = 78.5 square units

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What is the area of a sector with a central angle of 10π/7 radians and a radius of 18.4 m? use 3.14 for π and round your final a
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Answer:

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Step-by-step explanation:

step 1

Find the area of the circle

The area of the circle is equal to

A=\pi r^{2}

we have

r=18.4\ m

substitute

A=\pi(18.4)^{2}

A=338.56\pi\ m^{2}

step 2

we know that

The area of complete circle subtends a central angle of 2π radians

so

using proportion

Find out the area of a sector with a central angle of 10π/7 radians

\frac{338.56\pi}{2\pi } =\frac{x}{(10\pi/7)}\\\\x=(10\pi/7)(338.56)/2\\\\x=241.829\pi\ m^2

use

\pi =3.14

241.829(3.14)=759.34\ m^2

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