Question

the perimeter of a sector of a circle of radius 4 cm is 18 cm then the area of sector is​

Answer 1

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Answer 2

Answer:

20 cm²

Step-by-step explanation:

Let OAB be the given sector.

Perimeter of sector OAB = 18 cm.

Now,

⇒ OA + OB + arc AB = 18

⇒ 4 + 4 + arc AB = 18

⇒ 8 + arc AB = 18

⇒ arc AB = 10

∴ arc AB = l = 10 cm.

∴ Area of sector OAB = (1/2) * l * r

                                     = (1/2) * 10 * 4

                                     = 20 cm²

Therefore, Area of sector = 20 cm².

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