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
icang [17]
3 years ago
6

For a circle with the radius of 15 cm what is the length of an ark intercepted by angle measuring 120?

Mathematics
2 answers:
sp2606 [1]3 years ago
7 0

Hello from MrBillDoesMath!

Answer:

10 Pi


Discussion:

Circumference of full circle = 2 Pi r = 2 Pi (15) = 30 Pi. As a circle contains 360 degrees, 120 degrees is one third of the circle and subtends an arc of  

(30 Pi)/3 = 10 Pi



Thank you,

MrB

mihalych1998 [28]3 years ago
3 0

Answer:

The length of an arc is, 31.41594 cm

Step-by-step explanation:

The arc length of the circle(l) is given by:

l =r \theta            ....1[]

where

r is the radius of the circle

\theta is the angle in radian.

As per the statement:

For a circle with the radius of 15 cm and angle is 120 degree.

⇒r = 15 cm and angle in degree = 120

Use conversion:

1 degree = 0.0174533 radian

then;

120 degree = 2.094396 radian

⇒\theta = 2.094396

Substitute the given values in [1] we have;

l = 15 \cdot 2.094396 = 31.41594

⇒l = 31.41594 cm

Therefore,  the length of an arc is, 31.41594 cm

You might be interested in
Lisa took out a loan for 5 months and was charged simple interest at an annual rate of 4.8%.
denis-greek [22]

Answer:

<em>Lisa borrowed $8,500</em>

Step-by-step explanation:

<u>Simple Interest </u>

Occurs when the interest is calculated on the original principal of a loan only.

Unlike compound interest where the interest earned in the compounding periods is added to the old principal, simple interest only considers the principal to calculate the interest.

The interest earned is calculated as follows:

I=Prt

Where:

I = Interest

P = initial principal balance

r = interest rate

t = time

Lisa took out a loan for t=5 months and was charged simple interest at an annual rate of r=4.8% = 0.048. She paid interest for I=$170.

We need to convert the time to years (there are 12 months per year):

t = 5 /12 years.

The formula must be solved for P:

\displaystyle P=\frac{I}{rt}

Substituting:

\displaystyle P=\frac{170}{0.048*5/12}

\displaystyle P=\frac{170}{0.02}=8,500

Lisa borrowed $8,500

8 0
2 years ago
Rearrange the equation so xxx is the independent variable. 6x+y=4x+11y6x+y=4x+11y
slava [35]

Answer:

10x=10y so x and y are the same or x=y

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
CARMEN HAS 18 CONNECTING CUBES. sHE WANTS TO MODEL A HOUSE SHAPED LIKE A RECTANGLE . if THE MODEL HAS A HEIGHT OF ONE CONNECTING
Tems11 [23]
1 by 18
2 by 9
3 by 6
So 3 ways
7 0
3 years ago
Read 2 more answers
1. How do you find the slope in a graph?
Karolina [17]
1. Pick two points on the line and determine their coordinates.

2. Determine the difference in y-coordinates of these two points (rise).

3. Determine the difference in x-coordinates for these two points (run).

4. Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).
6 0
3 years ago
Which shows the correct method for solving the equation below?<br> 1/3 (y-9) =3
lyudmila [28]

Answer:

y=18

Step-by-step explanation:

we have

\frac{1}{3}(y-9)=3

Multiply by 3 both sides

3*(\frac{1}{3}(y-9))=3*3

(y-9)=9

Adds 9 both sides

(y-9)+9=9+9

y=18

3 0
3 years ago
Other questions:
  • What is the value of the expression i × i²× i³× i⁴
    6·1 answer
  • Solve the equation.
    10·2 answers
  • What would 1469.52 be rounded to?
    13·2 answers
  • The points (-6,-2) and (8,5) are the endpoints of the diameter of a circle. Find the length of the radius of the circle
    6·1 answer
  • You bought a new fish tank with the dimensions 36 inches by 16 inches by 20 inches. What is the largest volume of water the tank
    11·1 answer
  • 7th grade math i-ready
    6·1 answer
  • Find the hcf of 52 and 117 and express it in the form of 52x + 117y..<br>please helppp​
    6·1 answer
  • Simplify.<br> V75<br> A. 35<br> B. 1575<br> C. 253<br> D. 573
    9·1 answer
  • 60 POINTS PLEASEEEEEEEEEEE
    14·2 answers
  • Select the correct answer.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!