How do you find the radius of two circles inside a rectangle if the area of it is 50cm squared?

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How do you find the radius of two circles inside a rectangle if the area of it is 50cm squared?

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Answer 1 · 2016-10-17T08:29:51

$r = 2.5cm$

Explanation:

I think a bit more detail is required about the the 2 circles? Are they equal in size and how are they placed?

I am going to assume that the two circles are equal in size and are side by side and fit exactly into the rectangle which has an area of $50 cm^2$

If you sketch the diagram and draw in the diameters of the circles so that they form a line through the middle of the rectangle, you will realise that the length of the rectangle is actually 4 radii.
In the same way, the breadth of the rectangle is 2radii.

So, we now know the length and the breadth of the rectangle, in terms of $r$ , which is quite nifty because that is what we need to calculate. Form an equation for the area of the rectangle.

$l xx b = A$
$4r xx 2r = 50$

$8r^2 = 50$

$r^2 = 50/8$

$r^2 = 6.25$

$r = sqrt6.25" "larr$ only use the positive root

$r = 2.5cm$

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How do you find the radius of two circles inside a rectangle if the area of it is 50cm squared?

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