This exercise involves the formula for the area of a circular sector. the area of a sector of a circle with a central angle of 170° is 70 m2. find the radius of the circle. (round your answer to one decimal place.) m
Answers
A = (1/2)r²·θ
You have A = 70 m², θ = 170° = 17π/18 rad. Then the radius is found from
70 m² = (1/2)r²(17π/18)
(36·70 m²)/(17π) = r²
r ≈ √47.18476 m
r ≈ 6.9 m
The radius of the circle is 6.9 m.
How to find the radius of the circle?
The area of the sector of a circle given by the formula:
A = /360 * (r²)
where r is the radius of the circle and is the central angle of the sector
We have:
= 170°
A = 70 m²
We need to solve for r:
A = /360 * (r²)
70 = 170/360 * * r²
r² = (70 * 360)/(170 * )
r² = 47.18
r = √47.18
r = 6.9 m
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