175k views
2 votes
What is the area of the shaded sector?

A) 6 pi units2
B) 9 pi units 2
C) 18 pi units 2
D) 36pi units 2

What is the area of the shaded sector? A) 6 pi units2 B) 9 pi units 2 C) 18 pi units-example-1
User Ash Blue
by
8.3k points

2 Answers

6 votes
The area of the shaded sector is one-fourth of the area of the whole circle so:

area = r^2 \pi \\ area = 6^2 \pi \\ area = 36 \pi
area of shaded region
= (36 \pi )/(4) \\ area = 9
The area of the shaded region is 9pi units^2
User Bdavidxyz
by
8.6k points
3 votes

Answer:

The correct option is B.

Explanation:

The area of a circle is


A=\pi r^2

where, r is the radius of the circle.

The radius of the given circle is 6 units.

The area of given circle is


A=\pi (6)^2


A=\pi (36)


A=36\pi

The area of complete circle is 36π units².

From the given figure it is clear that 1/4th part of circle is shaded. The area of 1/4 th circle is


A_1=(1)/(4)A


A_1=(1)/(4)(36\pi)


A_1=9\pi

The area of shaded sector is 9π units². Therefore, the correct option is B.

User Ilyazub
by
7.8k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories