Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
437 views
in Polygons by (115k points)
closed by
What is the interior angle of a regular octagon of side length 2 cm?
1. \(\dfrac{\pi}{2}\)
2. \(\dfrac{3\pi}{4}\)
3. \(\dfrac{3\pi}{5}\)
4. \(\dfrac{3\pi}{8}\)

1 Answer

0 votes
by (114k points)
selected by
 
Best answer
Correct Answer - Option 2 : \(\dfrac{3\pi}{4}\)

Concept:

The interior angle of a regular polygon is given by:  

\(\rm (n - 2) \times \frac{180^{\circ}}{n}\)

Where, n = number of sides

Interior Angle = 180°- Exterior Angle

Calculation:

Regular Octagon has 8 sides

so, n = 8

Interior Angle

\(\rm (n - 2) \times \frac{180^{\circ}}{n}\)

\(\rm (8 - 2) \times \frac{180^{\circ}}{8}\)

\(\rm 6 \times \frac{180^{\circ}}{8}\)

\(\dfrac{3\pi}{4}\)

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...