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.
If the ratio of circumference of two circles are 4 : 9, the ratio of their area is:_______________. | |||
Right Option : B | |||
View Explanation |
A circular grass lawn of 35 m in radius has a path 7 m wide running around it on the outside. The area of path is _____________ | |||
Right Option : D | |||
View Explanation |
A plane passes 2 cm from the center of a sphere with radius 5 cm. The area of circle formed is: | |||
Right Option : A | |||
View Explanation |
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