wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If the radius of a circle gets increased by 10%, then what is the percentage increase in its diameter?

A
40%
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
20%
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
Remains same
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
10%
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D 10%

Let the radius of the circle be r.

We know that the diameter of a circle is twice its radius.

Hence, Daimeter =2×r=2r

Now, increased radius =110100r=1110r=1.1r

Increased diameter =2×1110r=2210r=2.2r

Increment iin diameter = 2.2r2r=0.2r

Percentage increment in diameter =Increment in the diameterOld diameter×100

=0.2r2r×100=10%

Thus, the diameter will also get increased by 10%.


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Parts of a circle
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon