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
Find the surface area.<br> 7 in.<br> 7 in.<br> 7 in.<br> please help
saveliy_v [14]

Answer:

294

Step-by-step explanation:

One side is 7×7 which is 49.

There are six sides so now it's 49×6, which gives you 294.

6 0
2 years ago
Write the reciprocal of -2/7
gtnhenbr [62]

Answer:

answer is -7/2

Step-by-step explanation:

7 0
2 years ago
What is 10/13 + 8/13 ?
ludmilkaskok [199]
18/13 or in simplified form, 1 and 5/13.
4 0
3 years ago
Read 2 more answers
-2 2/3 divided by 4/3
Vedmedyk [2.9K]

Answer:

-2

Step-by-step explanation:

Rule(s): a\frac{b}{c} = \frac{a \cdot c + b}{c}, \frac{-a}{b}=-\frac{a}{b}, \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c} \\2\frac{2}{3}=\frac{2\cdot 3+2}{3}\\=\frac{8}{3}\\=\frac{-\frac{8}{3}}{\frac{4}{3}}\\=-\frac{\frac{8}{3}}{\frac{4}{3}}\\=\frac{-8\cdot \:3}{3\cdot \:4}\\= \frac{-24}{12}\\= -2

8 0
1 year ago
Identify the property or rule 85+0=
frez [133]
IdentityProperty of Addition OR Zero Property
8 0
3 years ago
Read 2 more answers
Other questions:
  • Ida is a receptionist who made a donation of $500 to her church. If Ida's AGI (Adjusted Gross Income) is $42,300, can she deduct
    15·1 answer
  • Which lines are parallel in the square pyramid?
    12·2 answers
  • 3(x+1) = -2(x-1)+6 solve for x
    15·1 answer
  • A line passes through the points ( 3,0) and (4,1). What is the y-intercept of the line?
    15·2 answers
  • kevin built a deck in his backyard. The length of the deck was 5x+1 units and the width of the deck was 4x-1 units. Write and si
    5·1 answer
  • Four cargo ships transported automobiles between ports. Each ship transported 146 cars and 65 trucks. How many more cars than tr
    12·1 answer
  • Which expression is equivalent to StartFraction 7 Superscript 5 Over 7 squared EndFraction?
    9·2 answers
  • I don’t know the answer
    15·1 answer
  • What is the length of JK¯¯¯¯¯ ? <br><br> Round to the nearest tenth of a unit.
    10·1 answer
  • Need answer fast as possible
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!