Get 2 FREE Instant-Explanations on Filo with code FILOAPP

In the following figure, the area of the shaded region is 20%

Question

In the following figure, the area of the shaded region is $20$ % of the area of the whole circle centered at P. The angle shown measures d degrees. What is its measurement in radians?

\frac{1}{5} π

\frac{2}{5} π

\frac{4}{5} π

\frac{2}{15} π

\frac{4}{15} π

Views: 674 students

Found 6 tutors discussing this question

Michael Discussed

In the following figure, the area of the shaded region is

20

% of the area of the whole circle centered at P. The angle shown measures d degrees. What is its measurement in radians?

13 mins ago

Discuss this question LIVE

13 mins ago

Text solutionVerified

Since the shaded region occupies

20

% of the whole circle, it occupies

\frac{1}{5}

of the circle.

We know that

36 0^{0}

2 π

is the angle within one full circle.

Hence, angle

d^{0} = \frac{1}{5} \times 2 π = \frac{2 π}{5}

Was this solution helpful?

150

Report

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our maths tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text	In the following figure, the area of the shaded region is $20$ % of the area of the whole circle centered at P. The angle shown measures d degrees. What is its measurement in radians?
Answer Type	Text solution:1
Upvotes	150