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g100num [7]
3 years ago
14

The area of a sector of a circle with a central angle of 170° is 70 m 2. find the radius of the circle. (round your answer to on

e decimal place.)
Mathematics
2 answers:
Morgarella [4.7K]3 years ago
8 0
The area of a sector of a circle is A= \frac{ \theta }{360} * \pi r^2.  We have everything but the radius to fill in there, so let's do it: 70= \frac{170}{360} * \pi r^2.  To make it easy, cross out the last 0 in both the 170 and the 360, and then multiply both sides by 36 to get 2520=17 \pi r^2.  Divide both sides by 17pi and you have 47.1847596=r^2 and r = 6.9
Lesechka [4]3 years ago
3 0
Area of a circle = πr²

Area of a sector = πr²*(α/360⁰)

70 = πr² * 170/360

r² = (70*360)/(170*π)

r = √(70*360)/(170*π) ≈ 6.9 m

r ≈ 6.9 m

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