Question

A horse is tethered to one corner of a rectangular grassy field 40 m by 24 m with a rope 14 m long.Over how much area of the field can it graze ?

• A. 154 m2
• B. 308 m2
• C. 150 m2
• D. None of these

Answer 1

Answer: (A)

154 m2

Answer 2

As we know from the question, Area of the field that the horse can gaze = 14 $m$

So, The area of sector having radius $r$ = 14 $m$

To calculate the area of sector the formula is = $\frac{\theta}{360} \times \pi r^2$

Putting the value in the formula = $\frac{90}{360} \times \frac{22}{7}\times 14 \times 14$

$\frac{1}{4} \times 22 \times 28$

$22 \times 7 = 154\ m^2$

The correct option is (A): 154 m2