Question

in the figure bc is diameter if ab =3cm ac=4cm and angle a=90degree find area of shaded region

Answer 1

Thank you for asking this question. Here is your answer:

First of all we will calculate the area of shaded region

= area of semicircle AB +  area of semicircle AC - (area of semicircle on side BC+area of triangle ABC)

=6² units

If there is any confusion please leave a comment below.

Answer 2

Answer:

13.6 cm²

Step-by-step explanation:

Δ ABC is inscribed in circle.

Since ∠A is 90°, then by pythagorus theorem,

BC² = AB² + AC² = 3² + 4²

∴ BC = 5 cm

Area of shaded region = Area of circle  - Area of Δ ABC

∴ Area of shaded region = π x (5/2)² - (1/2 x 4 x 3)

∴ Area of shaded region = 19.6 - 6 = 13.6 cm²