Question

The areas of three circles are shown.

Circle X
Circle Y
Circle z
A=9x cm?
A-
cm?
A = 27.5 cm
Not drawn to scale
Which list shows the circles in order from greatest area to least area?
A. Circle Z, circle Y, circle X
B. Circle Y, circle Z, circle X
C. Circle X, circle Z, circle Y
D. Circle X, circle Y, circle z

Answer 1

x,z,y

Explanation:

Answer 2

C. Circle X, circle Z, circle Y

Explanation:

Given

Circles X, Y and Z

Required

Order from greatest to highest

First, we need to simplify the given areas;

For Circle X

`A = 9\pi`

Take
`\pi` as 3.14

`A = 9 * 3.14`

`A = 28.26`

For Circle Y

`A = (\sqrt3)/(2)`

This gives

`A = (1.732)/(2)`

`A = 0.866`

For Circle Z

`A = 27.5`

By comparing the above areas;

X has the largest area; followed by Z and then Y

Hence,

option C answers the question