CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If ABC is a quarter circle and a circle is inscribed in it and if AB = 1 cm, find the radius of the smaller circle.

A
21
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
2+1)/2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
21/2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
122
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 21
Area of the quarter circle πr240.25π. Going by options, we have to see that the area of the inserted circle is less than the area of the quarter circle.
option (b) (2+1)2Area=(1.5+2)π
2.9π>0.25π. Hence discarded.
Option (c) 212Area=π(2+142)0.75π
>0.25π.
Hence discarded.
Option (d) 122Area =π(1+842)0.85π
>0.25π.
Hence discarded.
Option (a) 21Area π(2+122)0.20π
<0.25π
Hence this option is correct.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
QUANTITATIVE APTITUDE
Watch in App
Join BYJU'S Learning Program
CrossIcon