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maw [93]
3 years ago
6

Find the radius of the circle below. Round your answer to the nearest tenth.

Mathematics
1 answer:
Butoxors [25]3 years ago
6 0

Answer:

5.8 cm

Step-by-step explanation:

Area of the shaded sector of the circle = 31.2 cm²

Angle (θ) of the minor sector = 360 - 256 = 104°

Are of sector of a circle is given as, θ/360*πr²

Therefore:

\frac{104}{360}*3.142*r^2 = 31.2

0.29*3.142*r^2 = 31.2

0.91*r^2 = 31.2

Divide both sides by 0.91

\frac{0.91*r^2}{0.91} = \frac{31.2}{0.91}

r^2 = \frac{31.2}{0.91}

r^2 = 34.286

r = \sqrt{34.286}

r = 5.8 (nearest tenth)

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