Question

the area of the sector which is one fourth the area of circle of radius r unit is​

Answer 1

Step-by-step explanation:

Given the area of the sector which is one fourth the area of circle of radius r unit is

• Now area of the circle is   A = πr^2
• Also area of sector when theta is in radians is theta / 2 x r^2
• So when in degrees area of sector = theta x π r^2 / 360  
• According to the question area of sector = ¼ area of the circle
•    So theta x π r^2 / 360 = ¼ x π r^2
• Or 4 theta = 360
• Or theta = 90 degree
• Now area of sector = 90 / 360 x π r^2
•          = π r^2 / 4

Reference link will be

https://brainly.in/question/15428498