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
polet [3.4K]
2 years ago
11

Trig: A sector of a circle has area 25 cm2 and centralangle

Mathematics
1 answer:
Alchen [17]2 years ago
3 0

Answer:  Radius = 10 cm and Arc length = 5 cm

Step-by-step explanation:

The area of a sector with radius r and central angle \theta (In radian) is given by :-

A=\dfrac{1}{2}r^2\theta

Given : A sector of a circle has area 25 cm^2 and central angle  0.5 radians.

Let r be the radius , then we have

25=\dfrac{1}{2}r^2(0.5)\\\\\Rightarrow\ r^2=\dfrac{2\times25}{0.5}\\\\\Rightarrow\ r^2=\dfrac{50}{0.5}=100\\\\\Rightarrow\ r=\sqrt{100}=10\ cm

Thus, radius = 10 cm

The length of arc is given by :-

l=r\theta=10\times0.5=5\ cm

Hence, the length of the arc = 5 cm

You might be interested in
What is a quartic function with only two real zeros atx x = 7 and x = 13
Strike441 [17]

Answer:

b

Step-by-step explanation:

B. Y= (x - 10) ^ 4 - 81 OR y = x^4 - 20x +91

4 0
2 years ago
Pls help what is this as a simplified fraction (thank u Jesus loves u)
Arte-miy333 [17]

Answer:

7.9 or 79/10

Step-by-step explanation:

-12.166 / -1.54

12.166 / 1.54

7.9

4 0
2 years ago
Read 2 more answers
14)If you multiply John's age by 4 and then
natulia [17]

Answer:

there was alot of math here but i got 10

Step-by-step explanation:

so first u add 10 and 2 u get 12 then u multiply 4 then u get 48 and divide that by 4 and then subtract 2 and get 10. hope this helped

6 0
3 years ago
Simplify 4√10 - √10 please explain how ypu got the answer
ElenaW [278]
4\sqrt{10}-(1)\sqrt{10}=3\sqrt{10}

2)
4\sqrt{10}-\sqrt{10}=\sqrt{10}(4-1)=3\sqrt{10}
5 0
3 years ago
People are surveyed about what sports they play. The results are shown in the frequency table. What graph would best display the
Marrrta [24]

Answer: Bar Graph

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • 2 horizontal and parallel lines are intersected by 2 diagonal lines to form a triangle with exterior angles. The top angle of th
    13·2 answers
  • Divide use multiplication to check 6 divide 67
    8·1 answer
  • There are (4^2)^3 ⋅ 40 horses at a stud farm. What is the total number of horses in the farm?
    10·1 answer
  • Will mark brainliest! Can something pls help me answer these showing there work? I offer 15 points
    10·1 answer
  • 80/91 + 5/9 in fraction pls
    5·2 answers
  • I need help with this one too
    11·1 answer
  • 9 pencils cost $7.74<br> Which equation would help determine the cost of 6 pencils?
    15·2 answers
  • Solve the equation. -3x+2x=8​
    8·1 answer
  • Please help <br><br>-3x= y<br>-9x - 5y = - 48
    8·1 answer
  • The following table shows the probability of rolling the numbers 1 through 7
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!