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Find the area of a sector of a circle of...

Find the area of a sector of a circle of radius 28cm and central angle `45^(@)`.

Text Solution

Verified by Experts

Given that, Radius of a circle, r = 28cm
and measure of central angle `theta=45^(@)`
`:.` Area of a sector of a circle = `(pir^(2))/(360^(@))xxtheta`
= `(22)/(7)xx(28)^(2)/(360)xx45^(@)`
= `(22xx28xx28)/(7)xx(45^(@))/(360^(@))`
= `22xx4xx28xx(1)/(8)`
= `22xx14`
= `308cm^(2)`
Hence, the required area of a sector of a circle is `308cm^(2)`
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