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3 years ago

How do you find the area of a circle that has a radius of 4

Mathematics

2 answers:

Lisa [10]3 years ago

8 0

Work is provided in the image attached.

Although you did not include units, I just used centimeters.

However, if there were no units, then just put your answer.

If you do not understand my work,

please ask me in the comments below.

romanna [79]3 years ago

6 0

Answer: Area of the circle will be

50.288

Step-by-step explanation:

Area of a circle is calculated by A=πr^2

Where r is the radius, given as 4

π is a mathematical constant of 3.143

Slot the values into the formula:

A = 3.143 x 4^2

A = 3.143 x 16

A = 50.288

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Find the measure of the indicated angle to the nearest degree.

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Using Pythagorean triplete

$\\ \sf\longmapsto h^2=33^2+8^2$

$\\ \sf\longmapsto h^2=1089+64$

$\\ \sf\longmapsto h^2=1153$

$\\ \sf\longmapsto h=\sqrt{1153}$

$\\ \sf\longmapsto h=33.9$

$\\ \sf\longmapsto h\approx34$

Now

$\boxed{\sf sin\theta=\dfrac{h}{P}}$

$\\ \sf\longmapsto sin\theta=\dfrac{34}{8}$

$\\ \sf\longmapsto sin\theta=4.2$

$\\ \sf\longmapsto 2sin\theta=sin60$

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