### Karen travels along a circular path, when she reaches the spot she started from, she finds that she has covered 132 metres. If she were to walk in a straight line through the center of the circle and reach the opposite side, how much distance did she travel?

(Assume π is

22 |

7 |

**Answer:**

42 metres

**Step by Step Explanation:**

- Distance covered by Karen along the circular path = 132 metres.

Since, she traveled a full circle, the distance covered by her is also equal to the circumference of the circle.

Thus,

2πr = 132, where*r*is the radius of the circle.

⇒*2r*=132 π

Since, the diameter of a circle is twice its radius,

⇒*d*=

, where d is the diameter of the circle.132 22 7

⇒*d*= 132 ×7 22

⇒*d*= 42 - If Karen were to walk in a straight line through the center of the circle and reach the opposite side, the distance would be equal to the diameter of the circle.
**Circle**

Thus, the distance would be**42 metres**.