Question

The perimeter of the sector of a circle of radius 4.5cm is 25cm. Find the area of sector

Answer 1

perimeter =length +2×radius
25=l+2×4.5=l+9
l=25-9=16cm
l=thetha/360×2pi r
16=/2thetha/360pi ×r
area=thetha/360×pi r^2=8×4.5=36cm^2
please mark it as a brainliest answer

Answer 2

Question :-

The perimeter of a circle of radius 8 cm is 25cm. what is the area of sector ?

Solution :-

→ Perimeter of sector = OA + OB + ACB

→ 25 = 8 + 8 + ACB

→ ACB = 25 - 16

→ ACB = 9 cm

Now,

Area of sector = 1/2 × radius × arc

Area = 1/2 × 8 × 9

Area = 1 × 4 × 9

Area = 36 sq.cm 【 Answer 】

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