The radii of two circles are 4 cm and 3 cm respectively. The diameter of the circle having area equal to the sum of the areas of the two circles (in cm)
Answers
Answer:
Let r
1
=4cm&r
2
=3cm
Now, area of new circle =πr
1
2
+πr
2
2
πr
2
=
7
22
((4)
2
+(3)
2
)
7
22
×r
2
=
7
22
×25
r
2
=25
r=5cm
∴ Diameter of new circle =2r=
Answer:
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 4 cm is 50.24 cm²
___________________________
Sum of the areas of the two circles
→ 28.26 cm² + 50.24 cm²
→ 78.50 cm²
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