Tick the correct answer in the following: If the perimeter and the area of a circle are numerically equal, then the radius of the circle is
(A) 2 units (D) π units
(C) 4 units (D) 7 units.
Let r be the radius of the circle then,
Perimeter = 2 πr
and Area = πr2
It is given that
Perimeter of circle = Area of circle
⇒ 2πr = πr2
⇒ r = 2 units
Hence, right option be (A): 2 units.
A chord of circle of radius 10 cm subtends a right angle at the centre. Find the area of the corresponding :
(i) Minor segment
(ii) Major sector.
In a circle of radius 21 cm, an arc subtends an angle of 60° at the centre. Find :
(i) the length of the arc
(ii) area of the sector formed by the arc
(iii) area of the segment formed by the corresponding chord.