Home
Class 10
MATHS
In the given figure, AB = 36 cm and M is...

In the given figure, AB = 36 cm and M is the midpoint of AB. Semicircles are drawn on AB, AM and MB as diameters. A circle with centre C touches all the three circles. Find the area of shaded region.

[Hint : Take O as the centre of semicircle on diameter AM. Take the radius of the circle with centre C as r. Then , OC = (9 + r)cm, OM = 9 cm and CM = (18-r) cm. Now, use Pythagoras theorem and find r = 6 cm.]

Text Solution

Verified by Experts

The correct Answer is:
`45 pi cm^(2)`
Promotional Banner

Topper's Solved these Questions

  • AREAS RELATED TO CIRCLES

    KUMAR PRAKASHAN|Exercise Objective Questions|25 Videos

  • AREAS RELATED TO CIRCLES

    KUMAR PRAKASHAN|Exercise Test Your Skills|15 Videos

  • ARITHMETIC PROGRESSION

    KUMAR PRAKASHAN|Exercise OBJECTIVE QUESTIONS|1 Videos

Similar Questions

Explore conceptually related problems

In the figure, ‘O’ is the centre of the circle. OM = 3cm and AB = 8cm. Find the radius of the circle

In the given figure, ABC is a right triangle, right angled at A. AB = 3 cm and AC = 4 cm. Semicircles are drawn on AB, AC and BC as diameters. Find the area of the shaded region.

In the given figure, AB and CD are two diameters of a circle (with centre O) perpendicular to each other and OD is the diameter of the smaller circle. If OA = 7 cm, find the area of the shaded region.

In the given figure, ABCD is a square of side 14 cm. Withcentres A, B, C and D four circles are drawn such that each circle touch externally two of the remaining three circles. Find the area of the shaded region.

In the given figure, /_COB = 40^(@), AB is the diameter of the circle. Find m/_CAB :

Find the equation of the circle with centre at (0,0) and radius r .

If BC passes through centre of the circle, then the area of the shaded region in the given figure is:

A is the centre of the circle and ABCD is a square. If BD = 4cm then find the radius of the circle

OAQB is a quadrant of a circle with centre O and radius 14 cm. A semicircle is drawn on diameter OB. Find the area of the shaded region.

In the given figure, PQRS is a diameter of circle with radius 6cm, such that the lengths PQ, QR and RS are equal. Semicircles are drawn on PQ and QS as diameters. Find the area of the shaded region.