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Sliva [168]
3 years ago
12

Chapter : Circles 1 question

Mathematics
1 answer:
erica [24]3 years ago
5 0
We can solve this question in 2 ways: either using degrees or converting the degrees into radians.

Since, the question says degrees itself and there is no specification of using radians only, so I have solved it using degrees itself.

Part (a):

Perimeter of sector ORS = 2*Radius + Arc RS = 2*21 + 60*  \frac{ \pi }{180} *21 =  \frac{ \pi }{3} *21 = 7 \pi

Part (b):

Area of sector ORS = \frac{60}{360} * \pi * 21^{2} =  \frac{1}{6} * \pi *21*21=  \frac{147}{2} \pi

Area of sector POQ = \frac{36}{360} *  \pi * 14^{2} =  \frac{1}{10} *  \pi * 196 =  \frac{196}{10}  \pi

Thus, area of shaded region
= Area of sector ORS - Area of sector POQ

= \frac{147}{2} \pi - \frac{196}{10} \pi =  \frac{735 - 196}{10}  \pi =  \frac{539}{10}  \pi = 53.9 \pi

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3 years ago
Find the value of t needed to make the equation shown true. <br><br> 25t = 12.5
-Dominant- [34]

Answer:

1/2

Step-by-step explanation:

Hi Avahosel2020!

To find the value of t we need to simplify the equation:

25t = 12.5

To just get t, we must divide 25 on both sides:

\frac{25t}{25} = \frac{12.5}{25}

<u>We can move the decimal one spot over and add a 0 to the denominator:</u>

\frac{25t}{25} = \frac{125}{250}

t = \frac{125}{250}

Simplifying!

\frac{125}{250} = \frac{1}{2}.

Thus, t has the value of $\boxed{\frac{1}{2} }$.

7 0
3 years ago
Choose the option that correctly completes the statement.
Tresset [83]

The answer is:

The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.

8 0
3 years ago
Can anyone tell me what this is, what unit it is, and how to solve it... Please and thanks. Problem is in the picture.
Vladimir [108]

Answer:

<h3>p(+)q=SQR(p^2+q^2)</h3>

8(+)6=SQR(8^2+6^2)

SQR(64+36)

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=10

Step-by-step explanation:

p + Q is equal to square root of p square + Q Square

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3 0
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Step-by-step explanation:

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