Question

1. The perimeter of a circle of radius 8 cm is 25cm. what is the area of sector?
a) 50cm b) 42cm c) 36cm d) 52cm?
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Answer 1

Answer:

36 cm2

Hope you got the answer

Answer 2

$\huge\bf{\underline{\underline{\orange{Question:-}}}}$

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

a) 50cm

b) 42cm

c) 36cm

d) 52cm

$\huge\bf{\underline{\underline{\orange{Given:-}}}}$

• perimeter is 25cm
• Radius is 8cm

$\bf\huge{\underline{\underline{\orange{Find:-}}}}$

• Area of sector ?

$\huge\bf{\underline{\underline{\orange{Solution:-}}}}$

$\sf → Perimeter = OA+OB+ arcACB$

$\sf → 25 =8+8+arcACB$

$\sf → arcACB=25-8+8$

$\sf → arcACB=9cm$

$\huge\bf{\underline{\underline{\orange{Now:-}}}}$

• Area of sector = 1/2 × radius × arc

$\sf → Area \:of\:sector = \dfrac{1}{2}×8×9$

$\sf → Area\:of\: sector=\dfrac{1}{\cancel{2}}×{\cancel{8}}×9$

$\sf → Area\:of\: sector= 1×4×9$

$\sf → Area\:of\:sector=36cm^2$

$\huge\bf{\underline{\underline{\orange{Hence:-}}}}$

• The required area of sector is 36cm²