Question

calculate each shaded area​

Answer 1

Solution :-

Here, Two semicircles are given

The diameter of large semicircle = 14cm

Therefore,

Radius of large semicircle = 14/2 = 7cm

Area of semicircle circle = πr^2 /2

Put the required values

Area of large semicircle = 22/7 * 7 * 7 / 2

Area of large semicircle = 22 * 7 / 2

Area of large semicircle = 154 / 2

Area of large semicircle = 77cm^2

Now,

One semicircle is form on the radius of large circle that is on AO .

The diameter of small Semicircle = 7cm

Therefore,

The radius of small semicircle = 7/2 cm

Area of semicicle = πr^2 /2

Area of small semicicle

= 22/7 * 7/2 * 7/2 / 2

Area of small semicicle = 11 * 7 /2 * 2

Area of small semicicle = 77 / 4

Area of small semicicle = 19.25cm^2

Now,

Area of shaded region = Area of large semicircle - Area of small semicicle .

Area of shaded region = 77 - 19.25

Area of shaded region

= 57.75cm^2 $.$

Answer 2

Answer:

$\huge \underline{ \underline \mathfrak \purple{Solution}}$

Here, Two semicircles are given

The diameter of large semicircle = 14cm

Therefore,

Radius of large semicircle = 14/2 = 7cm

Area of semicircle circle = πr^2 /2

Put the required values

Area of large semicircle = 22/7 * 7 * 7 / 2

Area of large semicircle = 22 * 7 / 2

Area of large semicircle = 154 / 2

Area of large semicircle = 77cm^2

Now,

One semicircle is form on the radius of large circle that is on AO .

The diameter of small Semicircle = 7cm

Therefore,

The radius of small semicircle = 7/2 cm

Area of semicicle = πr^2 /2

Area of small semicicle

= 22/7 * 7/2 * 7/2 / 2

Area of small semicicle = 11 * 7 /2 * 2

Area of small semicicle = 77 / 4

Area of small semicicle = 19.25cm^2

Now,

Area of shaded region = Area of large semicircle - Area of small semicicle .

Area of shaded region = 77 - 19.25

▶ Area of shaded region = 57.75cm^2