bestmanthatever
bestmanthatever bestmanthatever
  • 23-04-2017
  • Mathematics
contestada

The diameter of a circle is 20 miles. What is the angle measure of an arc bounding a sector with area 10​ square miles?

Respuesta :

irspow
irspow irspow
  • 23-04-2017
A=(απr^2)/360=(απd^2)/1440   (r^2=d^2/4)

α=1440A/(πd^2)

s=απd/360  (where s=arc length) so

s=(1440Aπd)/(360πd^2)

s=4A/d and since A=10mi^2 and d=20mi

s=(4*10)/20

s=2 miles
Answer Link

Otras preguntas

How did the booming economy of the 1920s lead to changes in American life?
What reasons does Palmer give to justify the arrest of communists in the United States?
what word best describe chlorophyll
A test tube containing CaCO₃ is heated until the entire compound decomposes. If the test tube plus calcium carbonate originally weighed 30.08 grams and the loss
What does tengo mean in Spanish?
What does karyote mean?
How do you do 81x^2=49
Which of the following tends to form a cation (positive ion) with a charge of 2+? a. Na b. O c. He d. Mg
Geometry  The diagonals of a  kite are in the ratio of 3:2. The area of the kite is 27 cm^2 .  Find the length of both diagonals. (Hint: Let the lengths of the
Which sentence does not contain any punctuation errors?  A.The smoothie recipe includes the following, frozen berries, yogurt, and vanilla extract.  B.The smoot