WORKSHEET ON WORD PROBLEMS ON CONCENTRIC CIRCLES

Problem 1 :

The areas of two concentric circles forming a ring are 154 square cm and 616 square cm. The breath of the ring is 

Solution

Problem 2 :

Find the area of the shaded region if radius of two concentric circles are 7 cm and 14 cm respectively and ∠𝐴𝑂𝐶 = 40 degree.

Solution

Problem 3 :

A race track is in the form of ring whose outer and inner circumferences are 506 m, 440 m respectively. Find the width of the track.

Solution

Problem 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.

Solution

Problem 5 :

In the given figure, O is the center of the bigger circle, and AC is its diameter. Another circle with AB as diameter is drawn. If AC = 54 cm and BC = 10 cm, find area of the shaded region

Solution

Problem 6 :

A race track is in the form of a ring whose inner and outer circumferences are 437 m and 503 m respectively. The width of the track is :

(a) 10.5 m    (b) 20.5 m    (c) 21 m    (d) 30 m

Solution

Problem 7 :

Diameters of three concentric circles are in the ratio 1 : 2 : 3. The sum of the circumferences of these circles is 264 cm. Find the area enclosed between second and third circles.

Solution