Book Online Demo

Check Your IQ

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

A chord of a circle of radius $7$ cm subtends an angle of $90^{°}$ at its centre. What is the ratio of areas of smaller and larger segments?

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

2 : 7

1 : 10

1 : 11

none of these

answer is B.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Given, a chord of a circle of radius

7

cm subtends an angle of

90^{°}

at its centre.
Area of minor segment

= \frac{π \times R^{2}}{4} - \frac{1}{2} \times R^{2}

\Rightarrow

Area of minor segment

= \frac{(π - 2)}{4} R^{2}

. . . . . . . . . . (1)
Area of major segment

= π R^{2} - \frac{(π - 2)}{4} R^{2}

\Rightarrow

Area of major segment

= \frac{[4 π - (π - 2)]}{4} R^{2}

\Rightarrow

Area of major segment

= \frac{3 π + 2}{4} R^{2}

. . . . . . . . . . . . (2)
Consider,

\frac{equation (1)}{equation (2)}

∴

Required ratio

= \frac{π - 2}{3 π + 2}

\Rightarrow

Required ratio

= \frac{8}{80}

\Rightarrow

Required ratio

= \frac{1}{10}

So, the required ratio is 1:10.
Hence, option 2 is correct.

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Ready to Test Your Skills?

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

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

A chord of a circle of radius 7cm subtends an angle of 90°at its centre. What is the ratio of areas of smaller and larger segments?

Best Courses for You

Detailed Solution

Get Expert Academic Guidance – Connect with a Counselor Today!

A chord of a circle of radius $7$ cm subtends an angle of $90^{°}$ at its centre. What is the ratio of areas of smaller and larger segments?