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nasty-shy [4]
3 years ago
13

The endpoints of a diameter of a circle are (-1,3) and (3,1). Find the center and radius of the circle.

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
4 0

Answer:

c.

Step-by-step explanation:


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Pls help 15. Find the exact area of the shaded region of the circle shown in the diagram.
konstantin123 [22]

Answer:

  • The shaded region is 9.83 cm²

Step-by-step explanation:

<em>Refer to attached diagram with added details.</em>

<h2>Given </h2>

Circle O with:

  • OA = OB = OD - radius
  • OC = OD = 2 cm

<h2>To find</h2>

  • The area of segment ADB.

<h2>Solution</h2>

Since r = OC + CD, the radius is 4 cm.

Consider right triangles OAC or OBC:

  • They have one leg of 2 cm and hypotenuse of 4 cm, so the hypotenuse is twice the short leg.

Recall the property of 30°x60°x90° triangle:

  • a : b : c = 1 : √3 : 2, where a- short leg, b- long leg, c- hypotenuse.

It means OC: OA = 1 : 2, so angles AOC and BOC are both 60° as adjacent to short legs.

In order to find the shaded area we need to find the area of sector OADB and subtract the area of triangle OAB.

Area of <u>sector:</u>

  • A = π(θ/360)r², where θ- central angle,
  • A = π*((mAOC + mBOC)/360)*r²,
  • A = π*((60 + 60)/360))(4²) =  16.76 cm².

Area of<u> triangle AO</u>B:

  • A = (1/2)*OC*(AC + BC),  AC = BC = OC√3 according to the property of 30x60x90 triangle.
  • A = (1/2)(2*2√3)*2 = 4√3 = 6.93 cm²

The shaded area is:

  • A = 16.76 - 6.93 = 9.83 cm²

8 0
1 year ago
The amusement park won't allow kids to ride
n200080 [17]
I think the answer is C
6 0
3 years ago
3.) in a video game for every 6 enemies
RoseWind [281]
15 points

32/6=5 1/3
if you assume that you only get points after defeating six enemies, you can disregard the 1/3

5*3=15
4 0
3 years ago
I' don't know how to do it can u help me plssssssss​
vagabundo [1.1K]

the answer is 5 bebe. remember to use pemdas

p-parenthesis

e-exponents

m-multiplication

d-division

a-addition

s-subtraction

8 0
2 years ago
Read 2 more answers
Select the slope-intercept form of an equation for a line with y-intercept -2 and slope 6.<br>​
ozzi

Answer:

y = 6x - 2

Step-by-step explanation:

slope intercept form is y = mx + b

m = slope

b = y-intercept

They give us the slope (m) which is 6 and the y-intercept (b) which is -2. PLug it into the equation

y = mx + b

y = 6x - 2

3 0
3 years ago
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