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toni59

toni59

19.10.2019 •

Mathematics

In a circle a 45 degree sector has an area of 32 pie cm ^2 what is the radius of the circle

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Ответ:

meth77

07.01.2022

$r=16\text{ cm}$

Step-by-step explanation:

We have been given that in a circle a 45 degree sector has an area of $32\pi\text{ cm}^2$ . We are asked to find the radius of our given circle.

$\text{Area of sector}=\frac{\theta}{360}\times \pi r^2$

Upon substituting our given values in above formula we will get,

$32\pi\text{ cm}^2=\frac{45}{360}\times \pi r^2$

$32\pi\text{ cm}^2=\frac{1}{8}\times \pi r^2$

Multiplying both sides of our equation by 8 we will get,

$8\times 32\pi\text{ cm}^2=8\times\frac{1}{8}\times \pi r^2$

$256\pi\text{ cm}^2=\pi r^2$

$\frac{256\pi\text{ cm}^2}{\pi}=\frac{\pi r^2}{\pi}$

$256\text{ cm}^2=r^2$

Upon taking square root of both sides of our equation we will get,

$\sqrt{256\text{ cm}^2}=r$

$16\text{ cm}=r$

Therefore, the radius of our given circle is 16 cm.

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Ответ:

angelinamadriga

03.07.2020

The interval when written in the form of lower limit and the upper limit would be 95.8 - 98.2. This can be calculated by subtracting 95 with 1.2 and by adding 95 with 1.2. Hope this answers the question. Have a nice day. Feel free to ask more question.

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