Question

Puja has two ropes measuring 5 m and 6 m. She ties a goat at point A with 5 m rope and ties another goat at point B with 6 m rope. Find out the ratio of areas grazed at point A and point B. The goats can only move inside the field.

• A. 25:36
• B. 26:37
• C. 24:36
• D. 25:37

Answer 1

The correct option is A

25:36

The area grazed by both the goats will be circular in shape as they are moving at a constant distance from a fixed point.

Area of circle = $\pi r^2$

The area grazed when a goat is tied at a point with a rope would be a circle with radius equal to the length of the rope.

Ratio = $\frac{AreaatA}{AreaatB}$ = $(\frac{r_A}{r_B}{)}^2$ = $(\frac{5}{6}{)}^2$ = 25:36