Radius of a sector of a circle is 3.5 cm and length of its arc is 2.2 cm. Find the area of the sector.
Given radius of sector of a circle , r = 3.5cmLength of the arc, l = 2.2cmArea of sector ,A = lr/2A = 2.2×3.5/2 = 3.85cm2Hence the area of the sector is 3.85cm2
Measure of an arc of a circle is 80˚ and its radius is 18 cm. Find the length of the arc. ( = 3.14)
Given measure of arc, = 80˚Radius , r = 18cm= 3.14Length of arc , l = (/360)2rl = (80/360)×2×3.14×18= 25.12cmHence the length of the arc is 25.12cm.
Radius of a circle is 10 cm. Measure of an arc of the circle is 54°. Find the area of the sector associated with the arc. ( = 3.14 )
Given radius of circle , r = 10cmMeasure of an arc of the circle , = 54˚= 3.14Area of sector , A = (/360)r2A = (54/360)×3.14×102= (9/60)×3.14×100= 47.1cm2Hence area of the sector is 47.1cm2