Question

Which proportion would be used to find the area of the sector given in the figure below in radians

AC=7
Angle C=80

80/360=49pi/x
80/360=x/49x
80/360x=x/7x
80/360=x/14pi

Answer 1

The required proportion is 80/360 = 49π/x. The correct option is A

The area of a sector is calculated using the formula;

• θ/360 × πr²

Here :

• radius, r = 7
• θ = 80

Inputting our values:

80/360 × π7²

Area = 80/360 × 49π

x = 80/360 × 49π

divide both sides by x

Now we have :

80/360 = 49π/x

Hence, the correct option is A