Radius of a sector of a circle is 7 cm. If measure of arc of the sector is –

Given radius of sector, r = 7cm

(1)Measure of arc, = 30˚
Area of sector = (/360)r²
= (30/360)×(22/7)×7²
= (1/12)×(22/7)×49
= (1/12)×22×7
= 12.83cm²
Hence the area of sector is 12.83cm²

(2)Measure of arc, = 210˚
Area of sector = (/360)r²
= (210/360)×(22/7)×7²
= (7/12)×(22/7)×49
= (7/12)×22×7
= 89.83cm²
Hence the area of sector is 89.83cm²

(3)Measure of arc, = 3 right angles = 3×90 = 270˚
Area of sector = (/360)r²
= (270/360)×(22/7)×7²
= (3/4)×(22/7)×49
= (3/4)×22×7
= 115.5 cm²
Hence the area of sector is 115.5 cm²