Close Ad
AdBlocker Detected
adblocker detected
Calculatored depends on revenue from ads impressions to survive. If you find calculatored valuable, please consider disabling your ad blocker or pausing adblock for calculatored.

How to calculate Area of a Sector?

According to the formula for the calculations of the Area of a sector, it requires area of the angle(Θ) and length of the radius(r).

Example :

Find the area of the sector of a circle with radius 6cm and angle is 30°.Find the area of a sector?

Solution :

Here,

Radius = r = 6 cm

Angle = θ = 30°

Formula :

$$\text{Area of a sector}\;=$$

$$\;\frac{θ}{360}\;*\;πr^2$$

$$\text{Area of a sector}\;=$$

$$\;\frac{30}{360}\;*\;3.14\;*\;6^2$$

$$\text{Area of a sector}\;=$$

$$\;\frac{1}{12}\;*\;3.14\;*\;36$$

$$\text{Area of a sector}\;=\;\frac{113.04}{12}$$

$$\text{Area of a sector}\;=\;9.42\;cm^2$$