find the area of shaded region of a circle of radius 14 cm if the length of the corresponding APB is 22cm
Share
find the area of shaded region of a circle of radius 14 cm if the length of the corresponding APB is 22cm
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Verified answer
Given :-
To find :-
Knowledge required :-
(where θ is the angle subtended by arc at centre and r is the radius of circle or sector)
Solution :-
Using formula for calculation of arc length
Using formula for calculating area of sector
Calculating area of triangle APB
Now, calculating the area of shaded region
Question:
Find the area of shaded region of a circle of radius 14cm if the length of the corresponding APB is 22 cm.
Answer:
The area of shaded region of the circle
: 56 cm²
Given :
➛Radius of the circle : 14 cm.
➛length of the corresponding APB is 22
cm.
To Find:
The area of shaded region of the circle .
Solution:
We are given,
➛Radius of the circle :( r) 14 cm.
➛length of the corresponding APB is 22
cm.
We know,
We also know,
but,
Now calculating the area of triangle APB
We know,
Now,