In a circle of radius 6cm, a chord of length 10cm makes an angle of 110° at the centre of the circle. Find:
(i)the circumference of the circle,
(ii)the area of the circle,
(iii)the length of the arc AB,
(iv)the area of the sector OAB.
Given,
Radius of circle = 6cm
Length of chord = 10cm
Angle subtend by chord = 110°
I. Circumference of circle = 2πr
= 2×3.14×6 = 37.68cm
II. Are of circle = πr2
= 3.14×6× = 113.1cm2
III. Length of arc = radius × angle subtend
IV. Area of sector =
18