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e-lub [12.9K]
2 years ago
8

GIVING OUT BRAINLIEST TO THE FIRST PERSON TO ANSWER!!

Mathematics
2 answers:
algol [13]2 years ago
5 0

Answer:

C. 1:16

Step-by-step explanation:

Area of a circle is:

\pi \times {r}^{2}

Small circle Area:

radius = diameter/2

radius = 6/2 = 3

area \: of \: a \: circle \:  = \pi {3}^{2}

a = 28.27

Large circle 4 times larger diameter

6*4 = 24

diameter = 24

r = 24/2

r = 12

a \:  = \pi {12}^{2}

a = 452.39

area of large circle/ area of small circle

452.39/28.27 = 16.00

ratio is 1:16

Likurg_2 [28]2 years ago
4 0

Answer:

<h3>The answer is option C</h3>

Step-by-step explanation:

To find the ratio first find the diameter of the larger circle

Diameter of first circle = 6 inches

Diameter of second circle = 4 × diameter of the first circle

Which is

Diameter of second circle

= 4 × 6 = 24 inches

Area of a circle = πr²

r is the radius

<u>Area of smaller circle</u>

Diameter = 6 inches

Radius = 6 / 2 = 3 inches

Area = (3)² π = 9π in²

<u>Area of larger circle</u>

Diameter = 24 inches

Radius = 24 / 2 = 12 inches

Area = (12)²π = 144π in²

The ratio of the smaller circle to the larger circle is

\frac{9\pi}{144\pi}

Reduce the fraction by 9π

That's

\frac{1}{16}

We have the final answer as

<h2>1 : 16</h2>

Hope this helps you

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