Question

In the adjoining figure, OABC represents a quadrant of a circle of radius 3.5cm with centre O. OD=2cm, Calculate the area of the shaded region​

Answer 1

Answer:

6.125 cm2

Step-by-step explanation:

r = 3.5 cm

Area of Δ AOD = 1/2 x 3.5 x 2

= 3.5 cm2

Area of quadrant = 1/4 x 22/7 x 3.5 x 3.5

= 77/8 cm2

Area of shaded region = 77/8 - 3.5

= 6.125

Answer 2

Area of quadrant - area of triangle = area of shaded region.

$\pi {r}^{2} - (l \times b )\div 2$

$\pi \times {3.5}^{2} - (3.5 \times 2) \div 2$

$\pi3.5 \times 3.5 - 3.5$

$3.5(\pi3.5 - 1)$

then you solve for answer