English

A circle with radius 16 cm is cut into four equal parts and rearranged to form another shape as shown in the following figure: Does the perimeter change? If it does change - Mathematics

Advertisements
Advertisements

Question

A circle with radius 16 cm is cut into four equal parts and rearranged to form another shape as shown in the following figure:


Does the perimeter change? If it does change, by how much does it increase or decrease?

Diagram
Sum
Advertisements

Solution

Radius of the circle = 16 cm

∴ Perimeter of the circle = 2πr = 2 × 16 × π = 32π cm


Now, the circle is rearranged into another shape such that A = B = C = D.


Perimeter of above shape = 27πr + 2r = (32π + 32) cm

Yes, the perimeter increases by (32π + 32 – 32π) = 32 cm

shaalaa.com
  Is there an error in this question or solution?
Chapter 9: Perimeter and Area - Exercise [Page 287]

APPEARS IN

NCERT Exemplar Mathematics [English] Class 7
Chapter 9 Perimeter and Area
Exercise | Q 100. | Page 287

Video TutorialsVIEW ALL [1]

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×