Question

the angle of a sector 120° and length of the arc is 88cm then the radius of the circle is..?

Answer 1

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Answer 2

Answer:

Given angle of sector = 120°

Length of arc ( L ) = 88 cm

To find:

Radius of Circle

Using

Length of arc = 2πr()/360°

Here, θ = 120°

length of arc =88cm

Substitute

88cm = 2πr(120°)/360°

88cm = 2πr/3

88×3 = 2πr

264 = 2πr

132 = πr

Take π = 22/7

132×7/22 = r

r = 924/22 = 42

r = 42 cm

More information:

→ Perimeter of Circle = 2πr

→ Radius of Circle = d/2

→ Diameter = 2r

→ Perimeter of semicircle = πr