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

The area of the circle centred at(1,2)and passing through (4,6) is


A

5πsqunits

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

10πsqunits

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

25πsqunits

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D

None of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C

25πsqunits


Explanation for Correct Answer:

Center and Parts of a Circle - Expii

The circle is centred and(1,2)and passing through (4,6).

Let the center of a circle is O(1,2) and the passing point is P(4,6).

Hence OP is a radius of a given circle.

Therefore radius OP is equal to

OP=4-12+6-22=32+42=9+16=25=5

Now area of a given circle is

Area=πr2=π×52r=OP=5=25π

Therefore the area of a given circle is equal to 25π squareunits.

Hence, option (C) is correct.


flag
Suggest Corrections
thumbs-up
2
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Ethanol and Ethanoic Acid
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon