Question

Find the area of sector of a circle of radius 28 cm and central angle is 45

Answer 1

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Answer 2

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❥ Find the area of sector of a circle of radius 28 cm and central angle is 45°.

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$\large{\boxed{\bold{Area\:of\:sector\:=\:308\:cm\:sq.}}}$

formula required :-

⇒ A ↠ θ / 360 × πr²

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❥ radius ( r ) ↠ 28 cm

❥ central angle ( θ ) ↠ 45 °

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❥ What is the area of sector ?

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❥ As we know that ,

The area (A) of a sector of a circle of radius (r) and central angle θ ( in degrees ) is given by :-

⇒ A ↠ θ / 360 × πr²

Here ,

⇒ r ↠ 28 cm

⇒ θ ↠45

Now ,

putting the values in the above formula

we get ,

⇒ A ↠ 45 / 360 × π × (28)²

⇒ A ↠ 1/8 × 22/7 × 28 × 28 cm ²

⇒ A ↠ 1/8 × 22/7 × 784 cm²

⇒ A ↠ 308 cm²

$\large{\boxed{\bold{Area\:of\:sector\:=\:308\:cm\:sq.}}}$

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