Advertisements
Advertisements
Question
If radius of a circle is increased to twice its original length, how much will the area of the circle increase?
Options
1.4 times
2 times
3 times
4 times
Advertisements
Solution
4 times
Explanation:
Let r be the radius of the circle.
∴ Area of circle = π2
If radius is increased to twice its original length, then radius will be 2r.
Now, area of new circle = π(2r)2 = 4π2 = 4 times of original area
Hence, the area of circle will be increased by 4 times.
APPEARS IN
RELATED QUESTIONS
The cost of harvesting a square field at ₹ 900 per hectare is ₹ 8100. Find the cost of putting a fence around it at ₹ 18 per metre.
If the perimeter of a semi-circular protractor is 36 cm, then its diameter is
The short and long hands of a clock are 4 cm and 6 cm long respectively. Find the sum of distances travelled by their tips in 2 days.
In the given figure, ∆ABC is right-angled at A. Find the area of the shaded region if AB = 6 cm, BC = 10 cm and O is the centre of the incircle of ∆ABC. [Take π = 3.14.]

The areas of two concentric circles are 1386 cm2 and 962.5 cm2. The width of the ring is ______.
The radius of a wheel is 0.25 m. How many revolutions will it make in covering 11 km?
The given figures show a rectangle ABCD inscribed in a circle as shown alongside.
If AB = 28 cm and BC = 21 cm, find the area of the shaded portion of the given figure.
A wire, when bent in the form of a square; encloses an area of 196 cm2. If the same wire is bent to form a circle; find the area of the circle.
Find the area of the biggest circle that can be cut from a rectangular piece 44cm by 28cm. also, find the area of the paper left after cutting out the circle.
The radii of the two circles are 4 cm and 3 cm respectively. The diameter of the circle having an area equal to the sum of the areas of the two circles (in cm) is ____________.
