The area of a sector of a circle is 11 cm Square what is the radius of the circle if the angle subtended at the center is 140° take pi is equal to 22/7

Answer 1

Given:
Area of sector = 11 cm²
Angle subtended at the center = 140°
π = 22/7

We know that the area of a sector of a circle is given by the formula:

Area of sector = (θ/360) x π x r²

Where:
θ = angle subtended at the center
r = radius of the circle

Substitute the given values:

11 = (140/360) x (22/7) x r²
11 = (7/18) x (22/7) x r²
11 = 22r²/18
11 x 18 = 22r²
198 = 22r²
r² = 198/22
r² = 9
r = √9
r = 3 cm

Therefore, the radius of the circle is 3 cm.