English

If radius of a circle is increased to twice its original length, how much will the area of the circle increase?

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

MCQ
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.

shaalaa.com
  Is there an error in this question or solution?
Chapter 9: Perimeter and Area - Exercise [Page 273]

APPEARS IN

NCERT Exemplar Mathematics Exemplar Class 7
Chapter 9 Perimeter and Area
Exercise | Q 30. | Page 273

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

Each of the equal sides of an isosceles triangle measure 2 cm more than its height, and the base of the triangle measure 12 cm. Find the area of the triangle.


One side of a rectangle is 12 cm long and its diagonal measure 37 cm. Find the other side and the area of the rectangle.


In the given figure, ABCD is a trapezium with AB || DC, AB = 18 cm DC = 32 cm and the distance between AB and DC is 14 cm. Circles of equal radii 7 cm with centres A, B, C and D have been drawn. Then find the area of the shaded region.
(Use \[\pi = \frac{22}{7}\] 

 


If the radius of a circle is diminished by 10%, then its area is diminished by


If the perimeter of a sector of a circle of radius 6.5 cm is 29 cm, then its area is


The radius of a circle is 20 cm. It is divided into four parts of equal area by drawing three concentric circles inside it. Then, the radius of the largest of three concentric circles drawn is


From a rectangular sheet of paper ABCD with AB = 40 cm and AD = 28 cm, a semicircular portion with BC as diameter is cut off. Find the area of the remaining paper. 


In the given figure, O is the centre of the bigger circle, and AC is its diameter. Another circle with AB as diameter is drawn. If AC = 54 cm and BC = 10, find the area of the shaded region.


In the given figure, ∆ABC is right-angled at A. Semicircles are drawn on AB, AC and BC as diameters. It is given that AB = 3 cm and AC = 4 cm. Find the area of the shaded region.


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?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×