miagrace3690 miagrace3690
  • 25-03-2022
  • Mathematics
contestada

In a circle, a 225° sector has area 250pi in^2. What is the radius of the circle?

Respuesta :

gvimalaratnam21
gvimalaratnam21 gvimalaratnam21
  • 25-03-2022

Answer:

r = 200

Step-by-step explanation:

[tex]Area of sector = (\frac{225}{360})[/tex]×πr² = [tex](\frac{5}{8})[/tex] ×πr²

[tex](\frac{5}{8})[/tex] ×πr² = 250π

[tex](\frac{5}{8})[/tex] ×r²   = 250

       r²   = [tex](\frac{8}{5})[/tex] × 250

       r²   = 400

       r    = 200 (r is a length so, it's positive)

Answer Link

Otras preguntas

Divide using synthetic division: 3x+6+(1)/(x+4)?
Suggest management strategies for droughts and desertification​
Question 4 (08.05 LC) What is the pH of a solution with a concentration of 4.2 x 10-5 M H₂O? (4 points) 6.87 5.62 2.31 04.38
At the top of the atmosphere, sunlight has an intensity of 1400 W/m^2. Determine magnetic field strenght associated with the light
Area of the parallelogram
how do i solve cos4(2x)
M angle 1 and M angle 1 2
Medicine is packed in boxes, each weighing 4 kg 500g. How many such boxes can be loaded in a van which cannot carry beyond 800 kg?​
how do I solve 6.1 - 0.3 >= c + 1?
A student was finding the radius of a sphere with a volume of 4,500π cubic inches. The correct radius of the sphere is __ inches. Round your answer to the neare