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

The magnitude of interior angle(in radians) of a regular pentagon is, while that of a regular octagon is

A
5π12
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
5π6
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
3π4
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
3π5
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D 3π5
Interior angle of a n sided regular polygon is n2n×180
For a pentagon, n=5
Magnitude of Interior angle =525×180=35×180=108
Now, Using the relation:
D180=Rπ
R=π×D180

R=π×108180=3π5
Hence, magnitude of interior angle of a pentagon =3π5

Similarly, for an octagon n=8
Magnitude of Interior angle =828×180=68×180=135
Now, Using the relation:
D180=Rπ
R=π×D180

R=π×135180=3π4
Hence, magnitude of interior angle of an octagon =3π4

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