Question

The radii of two circles are 4 cm and 3 cm respectively . Find the diameter of the circle having area equal to the sum of the area
of the two circles

Answer 1

Given :

• The radii of two circles are 4cm and 3cm respectively .

To Find :

• The diameter of the circle having area equal to the sum of the area of the two circles .

Solution :

___________________________

Area of the circle having radius 3cm

→ Area = πr²

→ 3.14 × 3²

→ 3.14 × 9

→ 28.26 cm²

Area of circle having radius 3cm is 28.26 cm²

___________________________

Area of the circle having radius 4cm

→ Area = πr²

→ 3.14 × 4²

→ 3.14 × 16

→ 50.24 cm²

Area of circle having radius 3cm is 50.24 cm²

___________________________

Sum of the areas of the two circles

→ 28.26 cm² + 50.24 cm²

→ 78.50 cm²

___________________________

Now, we have to find the diameter of the circle having area 78.50 cm²

→ Area of circle = πr²

→ 78.50 = 3.14 × r²

→ r² = 78.50/3.14

→ r² = 25

→ r = 5 cm

___________________________

Diameter = 2 × radius

→ d = 2 × 5

→ d = 10 cm

So, the diameter of the circle having area 78.50 cm² is 10 cm .

Answer 2

Given

The riddle of twO circles are 4cm end

Sem respectively.

To Find

The diameter of the calling

urdu equal to the sun of the we of

the two circles

Solution

Areas of the circle having radius 3 cm

Area

+314-9

- 31.9

28.26 cm

Area of circle having radius 3 cm 26.26

em

Area of the circle having radius dem

Area

3144

+314- 16

-0.74 cm

Area of cistervengradis 3m50.24

cm

Sum of the areas of the two inches +28.36 cm-5024 cm

78.50 cm

Now, we have to find the diameter f the circle having eren 78.50 cm Area of circle

7850314

25

Diameter - 2 radius

+-25

+10 cm

5o the diameter of the circle having

78.50 cm" is 10 cm.