Advertisements
Advertisements
Question
The circumference of a circle is numerically equal to its area. Find the area and circumference of the circle.
Advertisements
Solution
Let the radius of a circle = r cm
⇒ Circumference of a circle = 2πr cm
Area of a circle = πr2
Now,
Circumference of a circle
= Area of a circle
⇒ 2πr = πr2
⇒ 2 = r
Thus, we have
Area of a circle
= πr2
= 3.14 x 2 x 2
= 12.56cm2
Circumference of a circle
= Area of a circle
= 12.56cm2.
APPEARS IN
RELATED QUESTIONS
A sector is cut from a circle of radius 21 cm. The angle of the sector is 150º. Find the length of its arc and area.
A steel wire when bent is the form of square encloses an area of 12 cm2. If the same wire is bent in form of circle. Find the area of circle.
A car travels 1 km distance in which each wheel makes 450 complete revolutions. Find the radius of wheel.
An arc of length 20ЁЭЬЛ cm subtends an angle of 144° at centre of circle. Find the radius of the circle.
The radius of the wheel of a vehicle is 42 cm. How many revolutions will it complete in a 19.8-km-long journey?
The sum of the circumference and diameter of a circle is 176 cm. Find the area of the circle.
A race track is in the form of a circular ring whose outer and inner circumferences are 396 m and 352 m respectively. The width of the track is ____________.
The radii of the two circles are 19 cm and 9 cm respectively. The radius of the circle which has a circumference equal to the sum of the circumference of two circles is ____________.
A wire is bent to form a square of side 22 cm. If the wire is rebent to form a circle, its radius is ______.
Circumference of a circle disc is 88 cm. Its radius is ______.
