Area of Circle
Area of Circle
Area of A Circle:
The area enclosed by a circle of radius r is . Here the Greek letter π represents a constant, approximately equal to 3.14159, which is equal to the ratio of the circumference of any circle to its diameter.
Illustration: Find the area of circle whose radius is 7cm
Solution: Radius r= 7 cm
= 154 sq.cm.
Illustration: The figure shows two circles with the same center. The radius of the larger circle is 10 cm and the radius of the smaller circle is 4 cm.
Find:
(a) the area of the larger circle
(b) the area of the smaller circle
(c) the shaded area between the two circles.
Solution: According to the question
(a) Radius of the larger circle = 10 cm,
So, area of the larger circle =
(b) Radius of the smaller circle = 4 cm,
Area of the smaller circle =
(c) Area of the shaded region = Area of Larger Circle - Area of Smaller Circle
Illustration: A path of width 2m runs around a circular park whose circumference m. Find the area of the path.
A wire bent in the form of a circle of radius 42 cm is cut and again bent in the form of a square. The ratio of the regions enclosed by the circle and the square in the two cases is given by: | |||
| Right Option : D | |||
| View Explanation | |||
The area of a circular field is 13.86 hectares. The cost of fencing it at the rate of 20 paisa per meter will be | |||
| Right Option : B | |||
| View Explanation | |||
From a rectangular sheet of cardboard measuring 12 cm x 4 cm, three largest circular discs of the same radius, touching each other, were cut off. What is the area (in | |||
| Right Option : B | |||
| View Explanation | |||
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