Question

Find the area of sector of a circle when the circumference of the circle is 88cm and the angle of sector is 45

Answer 1

Answer:

77 Cm²

Step-by-step explanation:

Given---> Circumference of circle is 88cm and angle of sector is 45°.

To find---> We know that ,

Area of sector of a circle = π r² θ / 360

ATQ,

Circumference of the circle = 88 Cm

2 π r = 88

=> 2 × ( 22 / 7 ) × r = 88

=> r =( 88 × 7 ) / 44

=> r = 2 × 7

=> r = 14 Cm

Radius of circle = 14 Cm

Angle of sector = 45°

Area of sector = π r² θ / 360

= ( 22/7 ) × ( 14 )² × 45 / 360

= ( 22/7 ) × 196 × 45 / 360

= 22 × 196 × 45 / 7 × 360

= 22 × 28 / 8

= 11 × 7

= 77 Cm²

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