Book Online Demo

Check Your IQ

Try Test

Courses

Offline Centres

The circumference of a circle is $50 cm$ . What will be the side of a square that can be inscribed in the circle?

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.

An Intiative by Sri Chaitanya

25 π

\frac{25 \sqrt{2}}{π}

22 π

\frac{25}{π}

answer is A.

(Unlock A.I Detailed Solution for FREE)

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Given that, Circumference of the circle is 50 cm.
Determine the radius of the circle by using its circumference.

2 π r = 50

Solve the equation for r.

r = 50 2 π

⇒ r = 25 π

Determine the diameter D of the circle by multiplying the value of r by 2.

D = 50 π

The diameter D of the circle represents the diagonal of the square.
Determine the side S of the square that can be inserted into the circle by using

D = S 2

50 π = S 2

⇒ S = 252 π

Therefore, side of the square present in the circle

252 π

cm.
Hence the correct option is 1.

Watch 3-min video & get full concept clarity

Ready to Test Your Skills?

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

Take Free Test