in the given figure ABC is diameter if a b is equal to 3 cm and ac is equal to 4 cm and angle A is equal to 90 degree find the area of shaded region
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area of triangle = 1/2 x b x h
=1/2 x 3 x 4
=6 cm2
to find bc,
bc2 = ab 2 + ac2
= 3 2 + 4 2
=9+16
= 25
= 5 cm
area of circle = pie r 2
= 22/7 x 25/4
multiply it
and
to find area of shaded region =area of circle- area of triangle
and
find area of shaded region.
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Step-by-step explanation:
BC =√(4)² + (3)²
BC=√16+9
BC=√25
BC = 5cm
Radius =2.5cm
Area of circle = πr²
22/7 × (2.5)²
22/7 × 6.25
=19.625cm²
area of triangle = ½ ×base ×height
1/2×3×4
=6cm²
Area of shaded region =
area of circle area of triangle
19.625-6
=13.625cm²
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