3 years ago

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Mathematics

2 answers:

kupik [55]3 years ago

6 0

Answer:

112.98

Step-by-step explanation:

37.68/2π = 5.9969

5.9969²π = 112.98

posledela3 years ago

6 0

ANSWER

The area is 112.9 square units to the nearest tenth.

EXPLANATION

The circumference is given by:

$C=2\pi \: r$

This implies that,

$37.68 = 2 \: \pi \: r$

$\frac{37.68}{2\pi} = r$

$r = 5.997$

The area of a circle is

$\pi \: {r}^{2}$

We substitute the radius to get;

$3.14 \times 5.997 ^{2} = 112.93 \: sq. \: units$

To the nearest tenth, the area of the circle is 112.9 square units.

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