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