Question

Find the area of the segments shaded in figure.
If CD=CB = 21 cm, AD=AB= 28 cm
and AC is the diameter of the circle.
​

Answer 1

I have no time now I will give in the evening

Answer 2

The required area of segments is 374.5 cm²

Step-by-step explanation:

Given : CD=CB=21 cm , AD=AB=28 cm

           AC is diameter

Now as AC is diameter

Therefore

∠ABC=∠ADC= 90°      ( Angles inscribed in a semicircle is 90 °)

∴ By using Pythagoras theorem

H²=P²+B²

where H is hypotenuse , P is perpendicular, B is base

We have

AC²=AB²+BC²

⇒ AC²=(28)²+(21)²= 784+441= 1225

⇒AC= √1225 = 35

Therefore

The diameter of circle is 35 cm

The radius of circle is  $\dfrac{35}{2}$

Now area of shaded segment = Area of circle - 2 x Area of triangle

$\text { Required area}= \pi r^2-2\times \dfrac{1}{2} \times b\times h$

where r is radius of circle b is breadth of triangle h is height of triangle

$area= \dfrac{22}{7} \times \dfrac{35}{2}\times \dfrac{35}{2} - 21 \times 28 \\\\\Rightarrow area= 962.5-588=374.5 cm^2$

Hence the required area of segments is 374.5 cm²

#Learn more

Find the area of the segment of a circle whose radius is 10 cm and the angle subtended by the corresponding chord at the center is 30​°

brainly.in/question/2775725