What is the diameter of a circle whose area is equal to the sum of the areas of the two circles of radu 24
cm and 7 cm is.
Answers
Answered by
0
Answer:
50 cm
Step-by-step explanation:
We have the formula for area of circle,
Area=π r
2
, where r is the radius of the circle
Let, the circle whose area is equal to the sum of the areas of the two circles of radii 24 cm and 7 cm be A
3
and its radius be r
3
Area of circle with radius,r
1
=24 cm be A
1
Area of circle with radius,r
2
=7 cm be A
2
Given,
A
3
=A
1
+A
2
π(r
3
)
2
=π(r
1
)
2
+π(r
2
)
2
π(r
3
)
2
=π[(r
1
)
2
+(r
2
)
2
]
(r
3
)
2
=(r
1
)
2
+(r
2
)
2
(r
3
)
2
=(24)
2
+(7)
2
=625=25
2
r
3
=25
Diameter = 2× radius = 2× 25 = 50 cm
Answered by
0
Answer:
50 cm
Step-by-step explanation:
hope this will help u..
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