**(1) Find the radius and area of a circle, whose circumfarence is:**

**(i) 132 cm**

**(ii) 22 m**

**(2) Find the radius and circumference of a circle whose area is:**

**(ii) 154 cm square**

**(ii) 6.16 m square**

**(3) The circumfarence of a circular table is 88 m. Find its area.**

**(4) The area of a circle is 1386 square centimeter, find its circumfarence.**

**(5) Find the area of a flat circular ring formed by two concentric circles (circles with same centre) whose radii are 9 cm and 5 cm.**

**(6) Find the area of the shaded portion in each of the following diagrams:**

**Solution: **

**(7) The radii of the inner and outer circumfarences of a circular-running track are 63 m and 70 m respectively. Find:**

**(i) the area of the track**

**(ii) the difference between the lengthsof the two circumfarences of the track**

**(8) A circular field of radius 105 m has a circular path a uniform width of 5 m along and inside its boundary. Find the area of the path.**

**Solution: **

**(9) There is a path of uniform width 7 m round and outside a circular garden of diameter 210 m. Find the area of the path.**

**(10) A wire, when bent in the form of a square, encloses an area of 484 cm square. Find:**

**(i) one side of the square**

**(ii) length of the wire**

**(iii) the largest area encloses, if the same wire is bent to form a circle.**

**(11) A wire, when bent in the form of a square, encloses an area of 196 cm square. If the same wire is bent to forn a circle, find the area of the circle.**

**Solution: **

**(12) The radius of a circular wheel is 42 cm. Find the distance travelled by it in:**

**(i) 1 revolution**

**(ii) 50 revolutions **

**(iii) 200 revolutions**

**(13) The diameter of the wheel of a car is 0.70 m. Find the distance covered by it in 500 revolutions.**

**If the wheel ts 5 minutes to make 500 revolutions, find its speed in:**

**(i) m/s**

**(ii) km/hr**

**(14) A bicycle wheel, diameter 56 cm, is making 45 revolutions in every 10 seconds. Calculate the speed, in kilometre per hour. of the bicycle.**

**Solution: **

**(15) A roller has a diameter of 1.4 m. Find : **

**(i) its circumfarence**

**(ii) the number of revolutions it makes while travelling 61.6 m.**

**(16) Find the are of the circle, length of whose circumfarence is equal to the sum of the lengths of the circumfarences of circles with radii 15 cm and 13 cm.**

**(17) A piece wire of length 108 cm is bent to form a semicircular arc bounded by its diameter. Find its radius and encloses area.**

**Solution: **

**(18) In the following figure, a rectangle ABCD encloses three circles. If BC = 14 cm, find the area of the shaded portion. (Take π = 3 1/7)**

**Solution: **