A horse is placed for grazing inside a square field 12 cm long and is tethered to one corner by a rope 8 cm long. What is the area it can graze?

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

50.18 sq. cm

50.28 sq. cm

50.38 sq. cm

50.48 sq. cm

answer is B.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Given, a horse is placed for grazing inside a square field 12 cm long and is tethered to one corner by a rope 8 cm long.
Area of a quadrant is

\frac{π r^{2}}{4}

.
Let the grazed portion is shown by shaded quadrant ABC,
So, the area required =

\frac{1}{4} π (length of rope)^{2}

.
Hence, area which horse can graze

= \frac{1}{4} π (8)^{2}

\Rightarrow

Area which horse can graze

= \frac{1}{4} \times \frac{22}{7} \times 64

\Rightarrow

Area which horse can graze

= 50.28

sq cm
Hence, option 2 is correct.

Watch 3-min video & get full concept clarity

JEE

NEET

Foundation JEE

Foundation NEET

CBSE