1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lidiya [134]
3 years ago
12

Which statements are true about circle Q? Select three options. The ratio of the measure of central angle PQR to the measure of

the entire circle is One-eighth. The area of the shaded sector is 4 units2. The area of the shaded sector depends on the length of the radius. The area of the shaded sector depends on the area of the circle. The ratio of the area of the shaded sector to the area of the circle is equal to the ratio of the length of the arc to the area of the circle.
Multiple Choice

Mathematics
2 answers:
kkurt [141]3 years ago
5 0

Answer:

<h3>- The ratio of the measure of central angle PQR to the measure of the entire circle is One-eighth. </h3><h3>- The area of the shaded sector depends on the length of the radius. </h3><h3>- The area of the shaded sector depends on the area of the circle</h3>

Step-by-step explanation:

Given central angle PQR = 45°

Total angle in a circle = 360°

Ratio of the measure of central angle PQR to the measure of the entire circle is \frac{45}{360} = \frac{1}{8}. This shows ratio that <u>the measure of central angle PQR to the measure of the entire circle is one-eighth</u>.

Area of a sector = \frac{\theta}{360}*\pi r^{2}

\theta = central angle (in degree) = 45°

r = radius of the circle = 6

Area of the sector

= \frac{45}{360}*\pi (6)^{2}\\ = \frac{1}{8}*36 \pi\\  = 4.5\pi units^{2}

<u>The ratio of the shaded sector is 4.5πunits² not 4units²</u>

From the formula, it can be seen that the ratio of the central angle to that of the circle is multiplied by area of the circle, this shows <u>that area of the shaded sector depends on the length of the radius and the area of the circle.</u>

Since Area of the circle = πr²

Area of the circle = 36πunits²

The ratio of the area of the shaded sector to the area of the circle = \frac{4.5\pi }{36 \pi } = \frac{1}{8}

For length of an arc

= \frac{45}{360}*2\pi r\\= \frac{45}{360}*2\pi (6)\\= \frac{45}{360}*12 \pi \\= \frac{12\pi }{8} \\= \frac{3\pi }{2} units

ratio of the length of the arc to the area of the circle = \frac{\frac{3\pi}{2} }{36\pi} = \frac{3}{72} =\frac{1}{24}

It is therefore seen that the ratio of the area of the shaded sector to the area of the circle IS NOT equal to the ratio of the length of the arc to the area of the circle

notka56 [123]3 years ago
3 0

Answer: 1, 3, 4

Step-by-step explanation:

You might be interested in
If f(x)=2x^2+1 and g(x)= x^2-7 find (f-g)(x)
kvasek [131]

Answer:

x² + 8

Step-by-step explanation:

(f - g)(x)

= f(x) - g(x)

= 2x² + 1 - (x² - 7)

= 2x² + 1 - x² + 7 ← collect like terms

= x² + 8

3 0
2 years ago
State if each triangle is a right triangle: *<br><br>13 in<br>2 in<br>12 in<br>​
olga_2 [115]

Answer:

It would be a obtuse triangle instead

Step-by-step explanation:

By using pythagorean and theorem (a^2 + b^2 = c^2)

So it would be 13^2___2^2 + 12^2

When you square them, you get 169___4 + 144

144 + 4 = 148, which is less than 169

SO it would be 169>148

So no, not a right triangle

7 0
2 years ago
Which of the three runners have the fastest pace? Explain how you know.
GenaCL600 [577]
What is the image, i can’t see it?
6 0
3 years ago
10^2= ?<br> If you like Rollercoaster vids pls subscribe to SR Vlogs (Rollercoasters) on yt ❤️❤️
Kaylis [27]

Step-by-step explanation:

HII ANY CU.TE GI.RL HERE

just for cu.te gi.rls and B.ts army

come here

adn duiv zcm ( just for cut.ies)

ur welcome ❤

I'll subscribe

8 0
3 years ago
Read 2 more answers
You are building a skateboard ramp from a piece of wood that is 3.1 meters long. You want the ramp to make and angle of 25 with
andrew11 [14]

Answer:

30 degrees. 

Step-by-step explanation:

The ladder that extends from the floor to the storeroom makes a right triangle.  The ramp is the hypotenuse measuring 10 m and the elevation of the storeroom is the opposite side. The angle of elevation is the arcsin of the quotient of the 5/10. Thus, the answer is 30 degrees. 

Read more on Brainly.com - brainly.com/question/1411682#readmore

6 0
3 years ago
Other questions:
  • What is 26/50 as a percent
    6·2 answers
  • If 60 marks is 40% what is full marks
    13·1 answer
  • Need help with this problem
    12·1 answer
  • 1. For the three-part question that follows, provide your answer to each question in the given workspace. Identify
    9·1 answer
  • The area of a trapezoid is calculated using the formula below, where A is the area of the trapezoid, b1 and b2 are the bases of
    15·2 answers
  • What is 1.234 + 8.89?
    11·2 answers
  • Can someone please help me. please man just help me
    10·1 answer
  • Solve this system of equations by graphing. First graph the equations, and then type the solution.
    13·1 answer
  • Standing on level ground and throws a small ball into the air. The flight path of the ball is modeled by the
    7·1 answer
  • Write the slope-intercept form of the equation of the line described.4) through: (-5,0) , parallel to Y= -2/5x + 4
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!