NCERT Solutions for Class 10 Maths Unit 12
Areas Related to Circles Class 10
Unit 12 Areas Related to Circles Exercise 12.1, 12.2, 12.3 Solutions
As proved by Archimedes, the area enclosed by a circle is equal to that of a triangle whose base has the length of the circle's circumference and whose height equals the circle's radius, which comes to π multiplied by the radius squared: Area = π r2
The circle is the plane curve enclosing the maximum area for a given arc length. This relates the circle to a problem in the calculus of variations, namely the isoperimetric inequality.