The diameter of two circles are 3.5 CM and 6cm. find the ratio of the area of a large circle to that of the smaller circle.
Answers
Answer:
Given:
The diameters of two circles are 3.5cm and 6cm.
To find:
Ratio of the area of a large circle to that of the smaller circle.
Solution:
Area of circle = πr²
The ratio of the area of the larger circle to that of the smaller circle = π(6)²/π(3.5)²
= 144/49
The ratio of the area of a large circle to that of the smaller circle = 144:49
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Answer:
Correct option is A)
We know the area of a circle =πr
2
Hence, area of a circle(C
1
) of radius 3 m=
7
22
×(3)
2
Area of a circle(C
2
) of radius 4 m=
7
22
×(4)
2
Given, area of big circle = sum of the areas of circles C
1
and C
2
=
7
22
×3
2
+
7
22
×4
2
=
7
22
×(9+16)
=
7
22
×(25)
Let the radius of the big circle be R.
Area of big circle =πR
2
=
7
22
×(25)
⇒R
2
=25
⇒R=5 m