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Snowcat [4.5K]
3 years ago
15

Use 3.14 for ok to estimate the area of a circle. The diameter is given. Round your answer to the nearest hundredth if necessary

Mathematics
1 answer:
julia-pushkina [17]3 years ago
5 0
What is the diameter ?
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Someone help I don't know what the diameter or radius is​
Elenna [48]
<h3><u>Answer:</u></h3>

52.38 inch² & 261.90 inch²

<h3><u>Step-by-step explanation:</u></h3>

Here we need to find the area of the sector . So according to formula we know the area of sector as ,

\boxed {\sf Area_{(sector)}= \dfrac{\theta}{360}\times \pi r^2 }

Here we can see that the central angle subtended by the arc is 60° and the radius of the circle is 10 inches . So the required area would be ,

=> Area = ∅/ 360° × π r²

=> Area = 60°/360° × 22/7 × (10in.)²

=> Area = 1/6 * 22/7 * 100 in²

=> Area = 52 .380 in²

<h3><u>★</u><u> </u><u>Hence </u><u>the </u><u>area </u><u>o</u><u>f </u><u>the </u><u>red</u><u> </u><u>sector </u><u>is </u><u>5</u><u>2</u><u>.</u><u>3</u><u>8</u><u> </u><u>inch²</u><u>.</u></h3>

<u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u>

Now let's find out the area of blue sector .The angle subtended by the arc will be (360-60)°=300° .

=> Area = 300/360 × 22/7 × 100 in²

=> Area = 261. 90 in²

<h3><u>★</u><u> </u><u>H</u><u>ence </u><u>the </u><u>area </u><u>of </u><u>blue </u><u>sector </u><u>is </u><u>2</u><u>6</u><u>1</u><u>.</u><u>9</u><u>0</u><u> </u><u>inch</u><u>²</u><u>.</u></h3>

\boxed{\red{\sf Area _{(red \ sector )} = 52.38 in^2 }}

\boxed{\blue{\sf Area _{(blue \ sector )} = 261.90 in^2 }}

5 0
3 years ago
Please help thanks! Brainliest <br> Sorry for spamming.
Bad White [126]

Answer: −10

Step-by-step explanation: 9^2−21/−6

81−21/−6

60/−6

−10

6 0
3 years ago
9/11=?/22<br> A.12<br> B.4<br> C.9<br> D.18
Yanka [14]
9/11 is equal to 18/22, so then D.
8 0
4 years ago
Someone please tell me which triangles are similar
White raven [17]

Answer:

The two triangles to the right with the angle measures 53 and 37.

Step-by-step explanation:

We first need to make an equation that we can use to find the value of X. since we know that the interior angles of a triangle add up to 180 degrees we can create this,

2x-21+x+90=`180

In order to solve this, we need to isolate the variable. We can do this by adding 21 to each side then subtracting 90 from each side,

3x=111

next, we divide 11 by 3 to get the value of x alone.

x=37

we can now plug ex in to find the measures of the angles. when we do that we see the angles measure 90,37, and 53 degrees. these values match with the angle measure of the two triangles on the right side of the picture.

6 0
3 years ago
Please help my geometry assginment, brainly if answer properly
QveST [7]

Answer:

Please mark me brainliest     :)   Hope it helps

Step-by-step explanation:

So basically, since CD and AB are parallel, that means that angle2 and angle3 are similar, due to the corresponding angle postulate. Furthermore, it is given that AG and CE are similar, so angle1 and angle2 are similar on the same principle.

This means that angle3 and angle4 are similar, since it is given that angle1 and angle4 are similar. A bisecting line divides a whole angle into two, equal value angles, and since ECF is composed of angle3 and angle4, and angle3 and angle4 are the same value, that means the line that forms angle3 and angle4 is bisecting the ECF, therefore CD bisects ECF.

5 0
3 years ago
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