Question

A right angled triangle of sides containing right angle are 6 cm and 8 cm 15 circumscribed in a circle with centre o of radius 5 cm as shown in the figure . Find the area of the shaded region​ if u answer this I will make answer as brainleist

Answer 1

Answer:

Area of the shaded region = 54.5 cm^2

Answer 2

The area of the shaded portion = 54.5 $cm^{2}$

Step-by-step explanation:

Given data

AC = 8 cm

BC = 6 cm

AB = 10 cm

Area of the Δ ABC = $BC (\frac{AC}{2} )$

⇒ A = 0.5 × 8 × 6

⇒ A = 24 $cm^{2}$ ------- (1)

Area of the circle = $\pi r^{2}$

r = radius of the circle = OB = 5 cm

⇒ $A_{circle} =$ 3.14 × 25

⇒ $A_{circle} =$ 78.5 $cm^{2}$ -------- (2)

Now the area of shaded portion = Area of circle - Area of the triangle

$A_{shaded}$ = 78.5 - 24

$A_{shaded}$ = 54.5 $cm^{2}$

Thus the area of the shaded portion = 54.5 $cm^{2}$