. In the given figure, AB is the diameter of the circle
with area pie sq. units. Another circle is drawn with
C as centre, which is on the given circle and passing
through A and B. Find the area of the shaded region.
Answers
Given : AB is the diameter of the circle with area pie sq. units.
Another circle is drawn with C as centre, which is on the given circle and passing through A and B.
To Find : the area of the shaded region.
Solution:
Area of circle = πr² = π
=> r = 1
Radius of bigger circle = √1²+1² = √2 sq units
Area of shaded region = Area of smaller circle -( area of smaller semi circle - area of right angle triangle ) - area of sector of larger circle (with sector angle 90°)
Area of smaller circle = π sq units
( area of smaller semi circle - area of right angle triangle )
= (1/2) π - (1/2) * √2 * √2
= π/2 - 1 sq units
area of sector of larger circle (with sector angle 90°)
= (90/360) π (√2)²
= π/2 sq units
Area of shaded region = π - (π/2 - 1) - π/2
= 1 sq units
Area of shaded region is 1 sq units
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Answer:
hope this will help you
in this question the figure was not correct in the question
