Asked by Ayomide

The area of sector of radius 14cm is 76cm.what is the angle substended by the sector at the centre of the circle

Answers

Answered by Ayomide
Answer
Answered by mathhelper
Area would be measured in cm^2 , not cm

area of whole circle = π(14^2) cm^2 = 196π cm^2
let the angle subtending your sector be θ , then by a simple ratio:
θ/360 = 76/196π
θ = 76*360/196π = appr 44.4°
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