The sum of the areas of two circles is 80 square meters. find the length of a radius of each circle if
one of them is twice as long as the other.
what is the radius of the larger circle?

Radius of the larger circle is approximately 4.52 m.

Step-by-step explanation:

Given:

Sum of area of 2 circle = 80 sq. m

Let the radius of smaller circle be 'r'.

Then Given:

one of them is twice as long as the other.

radius of the Larger circle =

we need to find the radius of the larger circle.

Solution:

Now we know that;

Area of the circle is π times square of the radius.

framing in equation form we get;

Area of the smaller circle =

Area of larger circle =

Now given:

Area of the smaller circle  + Area of the larger circle = 80

Substituting the values we get;

Now Dividing both side by 5π we get;

Taking square root on both side we get;

Now radius of larger circle =

Hence Radius of the larger circle is approximately 4.52 m.

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