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
Alborosie
2 years ago
13

a 120 degree sector of a circle has an area of 67 square centimeters. to the nearest centimeter, what is the diameter of the cir

cle?
Mathematics
1 answer:
Vitek1552 [10]2 years ago
8 0

Answer:

16 cm

Step-by-step explanation:

We have to first find the radius of the circle.

The area of a sector is given as:

A = \frac{\alpha }{360}  * \pi r^2

where α = central angle of the sector = 120°

r = radius of the circle

Therefore:

67 = \frac{120}{360} * \pi r^2\\\\\pi r^2 = \frac{360 * 67}{120}\\ \\r^2 = \frac{360 * 67}{120 * \pi}\\\\r^2 = 63.98\\\\r = \sqrt{63.98} = 8.0 cm

The diameter of a circle is twice its radius, therefore:

D = 2 * 8 = 16 cm

The diameter of the circle is 16 cm

You might be interested in
A poll of all 2000 students in a high school found that 94% of its students owned cell phones.
LekaFEV [45]

Answer: F. Parameter, because the data set of all 2000 students in a high school is a population.

Step-by-step explanation:

Parameters is a variable or measure that is calculated from the entire population of data while a statistic is done from a sample of the data.

The question notes that the poll was done on <u>all 2,000</u> students in a high school. This means that the poll is a Parameter because it was done on the entire population of the high school.

7 0
3 years ago
Does anyone know the formula for the volume of a oblique hexagonal prism?​
Scorpion4ik [409]

Answer:

, volume = [(3√3)/2]a2h cubic units

Step-by-step explanation:

The formula for the volume of a hexagonal prism is, volume = [(3√3)/2]a2h cubic units where a is the base length and h is the height of the prism.

8 0
2 years ago
3/10 divided by -3 1/2
Nitella [24]
The answer to this question is -3/35
3 0
3 years ago
How to find the area only of a triangle
strojnjashka [21]
Measure 2 sides, then multiply them, and divide by 2.
6 0
3 years ago
What is the approximate length of minor arc XZ? Round to the nearest tenth of a meter
Fynjy0 [20]

Answer:

?

Step-by-step explanation:

We can't see minor arc xz, you need a picture

5 0
3 years ago
Other questions:
  • How many 1000s are in 287,123
    12·2 answers
  • What is the linear function equation represented by the graph?<br><br><br> f (x) = ?
    11·2 answers
  • What is the answer to this question?
    7·2 answers
  • Polynomial and rational functions can be used to model a wide variety of phenomena of science, technology, and everyday life. Ch
    11·1 answer
  • URGENT PLEASE HELP <br> please help me simplify this expression
    12·1 answer
  • The radius of a sphere is 7 cm. What is the sphere's volume? Round to the nearest tenth.
    9·1 answer
  • 50 POINTS!!!!!!!!!!<br><br><br> Solve for EG.<br> A) 12 <br> B) 15 <br> C) 21 <br> D) 30
    12·2 answers
  • How do you do this problem
    13·2 answers
  • What is the answer for -2(-3.4)= ?
    12·2 answers
  • Kevin played a trivia game. Each correct answer is worth 2 / points, and each incorrect answer is worth ­⎯/ point. What was Kevi
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!