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

The maximum area of a rectangle that can be inscribed in a circle of radius 2 units is (in square units).

A
4
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
8π
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
8
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
5
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 8
The sides of a rectangle are, 2rsinθ and 2rcosθ .
Area =4r2sinθcosθ
=2r2sin2θ
For maximum value, sin2θ=90,
Max area =2r2
=2×4
=8
(c)

682110_638536_ans_509b73a7714d48168581844f81328fc8.png

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