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
In the following figure, shows the cross-section of railway tunnel. The radius OA of the circular part is 2 m. If ∠AOB = 90°, calculate:
the height of the tunnel

A pendulum swings through an angle of 30° and describes an arc 8.8 cm in length. Find the length of the pendulum.
In the given figure, PSR, RTQ and PAQ are three semicircles of diameter 10 cm, 3 cm and 7 cm respectively. Find the perimeter of shaded region. [Use π= 3.14]

A sector is cut from a circle of radius 21 cm. The angle of the sector is 150°. Find the length of the arc and the area of the sector.
ABCD is a field in the shape of a trapezium, AD || BC, ∠ABC = 90° and ∠ADC = 60°. Four sectors are formed with centres A, B, C and D, as shown in the figure. The radius of each sector is 14 m. Find the following:
- total area of the four sectors,
- area of the remaining portion, given that AD = 55 m, BC = 45 m and AB = 30 m.

A lawn is in the shape of a semicircle of diameter 42m. the lawn is surrounded by a flower bed of width 7m all round. Find the area of the flower bed in m2.
The area of a circle is 154 cm2. Its diameter is ____________.
Find the diameter of a circle whose area is equal to the sum of the areas of the two circles of radii 24 cm and 7 cm.
Pizza factory has come out with two kinds of pizzas. A square pizza of side 45 cm costs ₹ 150 and a circular pizza of diameter 50 cm costs ₹ 160 (see figure). Which pizza is a better deal?

What is the diameter of a circle whose area is equal to the sum of the areas of two circles of radii 40cm and 9cm?
