Question

if the area of the minor sector of a circle with radius 11.2cm is 49.28cm square find the measure of the arc​

Answer 1

Answer:

Step-by-step explanation:

The radius of the circle, r = 11.2 cm

The area of the minor sector = 49.28 cm²

We know that the formula for the area of the minor sector is given as,

Area of the sector = [θ/360°] * πr² ….. [where θ = measure of the arc]

Now, by substituting the given values in the formula, we get

49.28 = [θ/360°] *   22/7 *(11.2)^2

⇒ [θ/360°] =  49.28/(22/7 * 125.44)

⇒ [θ/360°] = 0.125

⇒ θ = 45°

Thus, the measure of the arc is 45°.