IXL - Areas of similar figures II (Geometry practice)

The figures below are similar. The area of each figure is given.


A1 = 98 mm2	A2 = 32 mm2

What is the ratio of the side length of the larger hexagon to the side length of the smaller hexagon?

Write your answer as the ratio of two whole numbers separated by a colon (for example, 2:3).

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question

The figures below are similar. The area of each figure is given.


A1 = 49 mm2	A2 = 16 mm2

What is the ratio of the diameter of the larger circle to the diameter of the smaller circle?

Write your answer as the ratio of two whole numbers separated by a colon (for example, 2:3).

key idea

The following proportion applies to all circles:

where
a
b
is
the
ratio
of
the
diameters,
and
A1
A2
is
the
ratio
of
the
areas.

solution

Find the square of the ratio of the diameters.

Find the ratio of the areas.

Use
these
two
ratios
to
set
up
a
proportion
and
solve
for
a
b
.

Take the square root of both sides

Write the fraction as a ratio.

→

7:4

The ratio of the diameter of the larger circle to the diameter of the smaller circle is 7:4.

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Lesson: Similarity

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Areas of similar figures I

Lesson: Similarity

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