Question

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Answer 1

GIVEN DATA :

• Area of sector = 1540 cm²

• Angle at centre of circle, θ = 50°

TO FIND : The radius of the circle ?

SOLUTION : Now,

By formula of area of sector,

→ Area of sector = θ/360° * π * r²

→ 1540 = 50/360° * 22/7 * r²

→ 1540 = 5/36 * 22/7 * r²

→ 1540 = 5/16 * 11/7 * r²

→ 1540 = 55/112 * r² i.e.

→ r² * 55/112 = 1540

→ r² * 55 = 1540 * 112

→ r² * 55 = 172480

→ r² = 172480/55

→ r² = 3136

→ r = √3136

→ r = 56 cm

ANSWER : Hence, radius of the circle is 56 cm.

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