syedakhalil syedakhalil
  • 01-09-2020
  • Mathematics
contestada

The area of a sector is 30 m2 in a circle with radius 4 m. What is the arc length of the sector?

Respuesta :

wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 01-09-2020

Answer:

15 m

Step-by-step explanation:

The area of the circle is

A =pi r^2

A = pi 4^2 = 16 pi

The area of the sector is 30

The fraction is

30/16 pi  

Take this time 2pi which are the  radians of a circle

30 /16 pi * 2 pi = 15/4

This is the number of radians the angle is

The arc length is s = r * theta where theta is in radians

s = r  theta

  = 4 * 15/4

  = 15

Answer Link

Otras preguntas

“an inconvenient truth” summarized with key figures please
I need help pleasee What is the length of the dotted line in the diagram below? Round to the nearest tenth.
what is mean of french​
Which factors may increase the likelihood of a person using drugs?a.experiencing depressionb.family members using drugsc.favorite celebrities using drugsd.havin
How much african country
What time period first introduced Christmas wreaths?
Wire 10cm long of area of cross section 1.28cm^2 elongates by 1.4cm when 4.5kg is suspended from it. Find the stress and strain and young's modulus
What is the full form of WHO?
A key conduit (outlet) of "enlightened" American political and moral ideas back to Europe came in the form of A. Returning British prisoners of war. B. The hund
1. Phionah poured 100cm³ of water. Phionah later mixed 400cm³ of salt solution of density 1.6gcm3 in the water above. Determine the density of the mixture​