What will be the perimeter of a quadrant of a circle of radius r?

The circumference of a two circles are in the ratio 2 : 3. Find the ratio of their areas.

What is the perimeter of the sector with radius 10.5 ern and sector angle 60\(°\)?

A thin wire is in the shape of a circle of radius 77 cm. It is bent into a square. Find the side of the square \(\left( Taking,\pi =\frac { 22 }{ 7 } \right) \)

If circumference of a circle is 44 cm, then what will be the area of the circle?

A chord of a circle of radius 14 cm subtends a right angle at the centre.  What is the area of the mirror sector? \([\pi\ = {22\over 7}]\)

The minute hand of a clock is \(\sqrt {21}\) cm long.  Find the area described by the minute hand on the face of the clock between 7.00 am and 7.05 am. \([Use\ \pi={22\over 7}]\)

The short and long hands of a clock are 4 cm and 6 cm long respectively.  Find the sum of the distances travelled by their tips in two days.    \([\pi = 22/7]\)

If the circumference of a circle is increased by 50% then find percentage increases in its area.

If area of circle is 301.84 cm², then find the radius of circle.

A chord of a circle of radius 15 cm subtends an angle of \(60^o\) at the centre.  Find the areas of the corresponding minor and major segments of the circle. \((Use\ \pi = 3.14\) and \(\sqrt3=1.73)\)

AB is one of the direct common tangent of two circles of radii 12 cm and 4 cm respectively touching each other.  Find the area of the region enclosed by the circles and the tangent.

PQRS is a dimeter of a circle of radius 6 cm.  The lengths PQ, QR are equal. Semicircles are drawn on PQ and QS as diameters. Find the perimeter of the shaded region.

The perimeter of a sector of a circle of radius 5.2 cm is 16.4 cm. Find the area of the sector.

In the given figure, O is the centre and AOC is a diameter of the circle. Find :
(i) The sum of the areas of the two shaded segments made by the chords AB and BC.
(ii) The area of the shaded segment made by the chorod PQ. \(\left( Use\ \pi =\frac { 22 }{ 7 } \right) \)

In the fig., find the perimeter of shaded region where ADC, AEB and BFC are semicircles on diameters AC, AB and BC respectively.

In fig., PSR, RTQ and PAQ are three semicircles of diameters 10 cm, 3 cm and 7 cm respectively. Find the perimeter of the shaded region. [ Use \(\pi\) = 3.14]

In figure, AC=24cm, BC=10cm and O is the centre of the circle.Find the area of the shaded region.[Use \(\pi\)=3.14]

Nandhini made a design on a square chart paper ABCD, made of square, semicircular arcs and arcs of quadrant of circles (see igure).Calculate the total shaded area in given figure.

Two circles touch internally. The sum of their areas is \(116\pi \quad { cm }^{ 2 }\) and distance between their centers is 6 cm. Find the radii of the circles.

An elastic belt is placed round the rim of a pulley of radius 5 cm. One point on the belt is pulled directly away from the centre O of the pulley until it is at P, 10 cm away from O. Find the length of the belt that is in contact with the rim of the pulley. Also find the shaded area . ( Use \(\pi =3.14,\sqrt { 3 } =1.73)\) 

Two circles touch internally. The sum of their areas is \(116\pi \ \ sq.cm\) and the distance between their centres is 6 cm. Find the radii of the circles.

In the figure given alongside, ABC is a right triangle, \(\angle B={ 90 }^{ ° }\) , AB = 28 cm and Bc = 21 cm. With AC as diameter a semicircle is drawn and with BC as radius a quarter circle is drawn. Find the area of the shaded region.