1.

spindi ogradius2gmentofthecirde(Use,s314|NCERT EXEMPLARI7) A chord of a circle of radius 20 cm subtends an angle of 90° at the centre. Find the areaof the corresponding major segment of the circle. (Use π = 3.14)

Answer»

r = 20cm¤ = 90°Area of sector = theta/360 * π * r2

= 90/360 * 22/7 * 20 * 20

= 1/4 * 22/7 * 20 * 20

= 2200/7314.2 cm2

Area of triangle = 1/2 * base * height

= 1/2 * 20 *20 (base and height both are r ) = 200 cm2

Area of minor segment = 314.2 - 200 = 114.2 cm2

major segment = area of circle - 114.2

= π * r2- 114.2

=22/7 * 20 * 20 -114.2

= 1142 .94 cm2

hai



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