**AREAS RELATED TO CIRCLES CLASS X**

**1.**The radius of the circle is 3 m. What is the circumference of another circle, whose area is 49 times that of the first?

**2.**Two circles touch externally. The sum of their areas is 130 p sq. cm and the distance between their centres is 14 cm. Find the radii of the circles.

**3.**A wire when bent in the form of an equilateral triangle encloses an area of 121 √3 cm2 . If the same wire is bent in the form of a circle, find the area of the circle.

**4.**The area enclosed between the two concentric circles is 770 cm2. If the radius of the outer circle is 21 cm, calculate the radius of the inner circle.

**5.**A wheel of diameter 42 cm, makes 240 revolutions per minute. Find :(

*i*) the total distance covered by the wheel in one minute. (

*ii*) the speed of the wheel in km/hr.

**6.**An arc of length 20pcm subtends an angle of 144° at the centre of the circle. Find radius of circle.

**7.**The perimeter of a sector of a circle of radius 5.7 m is 27.2 m. Find the area of the sector.

**8.**In the given figure, the length of the minor arc is 7/24 of the circumference of the circle. Find : (

*i*) <AOB(

*ii*) If it is given that the circumference of the circle is 132 cm, find the length of the minor arc AB and the radius of the circle.

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