Circles
Circles: Overview
This topic describes a circle and its properties. A circle is a closed figure drawn by a single curve that meets at a single point. A circle has a uniform diameter. The diameter of a circle is the longest chord of a circle.
Important Questions on Circles
What is the relationship between circumference and area of a circle?

If the radius of the circle is and area of the circle is , then find the value of .

The radii of the inner and outer circumferences of two concentric circle is and respectively . The area of the region of two concentric circles is _____.

Why the area of semi circle is half of the circle?

If the area of circle is and diameter of circle is , then find the value of .

The approximate value of , correct to two decimal places is _____.

If the radius of a circle whose perimeter is is , then find the value of in mixed fraction. Take .

The radius of a wheel of an engine is . How many revolutions will it make in travelling ? [Assume ]

The ratio of the circumference and the _____ of a circle is always constant and it is denoted by .

The value of _____remains the same irrespective of the size of the circle.

When we multiply the pi by the square of the radius of a circle, then we get_____ of a circle

Pi is define as the ratio the circumference of the circle to its diameter.


The area of the shaded portion in terms of $ \pi $ = _____$ \pi $$ {\text{cm}}^{2}$

What is the area of the given figure?
(Please use $ \pi=3.14$)

The length of the arc of this semi circle is _____cm.
(Please use $ \pi =\frac{22}{7}$)

The area of this figure is _____$ {\text{cm}}^{2}$.
(Please use $ \pi =\frac{22}{7}$ and answer up to 3 decimal places)

A fountain has a granite seating around it. If the width of the seating is and the outer circumference of the seat is, the area available for seating is _____.
(Please use )

The inner circumference of this race track is 440 m. What will be the total cost of building the fence around the outer circle if it costs &rupee; 6 per metre length?

Area of circular ring _____$ {\text{cm}}^{2}.$
(Please use $ \pi =3.14$)
