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

give an approximate value of the square root of 1000 to the tenths place.
An oval group of stars is an "what" galaxy?
True or False? The line "Fainting I follow, I leave off therefore" contains both a caesura and alliteration.
Who was Henry II? A. the king who led the Normans in their conquest of England B. the king who established a new system of justice in England C. the king who le
How many children did king John have
Which of the lines from the poem How do I love thee? (Sonnet 43) contains a change in intonation? A. I love thee freely, as men strive for Right; B. How do I lo
Which answer corrects the error in capitalization? On January 1, 1863, Abraham Lincoln issued the Emancipation proclamation. A. Proclamation B. emancipation C.
How did expanding democracy bring Andrew Jackson to power?
Why is cactus hill really important?
The 1920s have been characterized as a decade of economic, social, and cultural change. Analyze the extent to which the First World War and consumerism affected