Question

Find the area of the circle,length of whose circumference is equal to the sum of the lengths of the circumference with radii 15 cm and 13 cm.

Answer 1

hello users ........

we have to find:-
 the area of the circle = ?

given that :-
Length of circumference f circle  is equal to the sum of the lengths of the circumference with radii 15 cm and 13 cm.

solution:-
we know that :-
circumference of circle = 2πr 
and 
area of circle = πr² 

here,
according to condition;
2πR = $2 \pi r_{1} + 2 \pi r_{2}$

here,
$r_{1} = 15 cm$
and
$r_{2} = 13 cm$

=> 2πR = 2π × 15 + 2π × 13 
= 30π + 26π  = 56 π

=> R = 28 cm 

now;
area of circle = π×(28)² 
= 784 × 22 / 7  = 17248 / 7 
= 2464 cm² answer 

✪✪ hope it helps ✪✪

Answer 2

Area of the circle is 2464cm^2