find the area of the shaded region if pq=24cm and pr=7cm and o is the center of the circle
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Answer:
Hey Mate..
Step-by-step explanation:
Angle QPR = 90 ( Traingle formed in the semi circle is of 90°)
IN Traingle QPR
By pythagoras theorem
H^2 = P^2 + B^2
H^2 = (7)^2 + (24)^2
H^2 = 49 + 576
H^2 = 625
H = √625
H = 25cm
Diameter of circle = 25cm
Radius of circle = 25/2
Area of Semi circle = pie (r)^2
= 1/2 × 22/7 × 25/2 × 25/2
= 245.5
Area of triangle = 1/2 × b × h
=1/2 × 24 × 7
= 12 × 7
= 84
Area of shaded region = Area of semicircle -Area of triangle
= 245.5 - 84
= 161.5 cm
Thank You..
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