PLEASE HELP!!! Will mark Brainiest!!! What is the area of sector GHJ , given that θ = π/4 radians? Express your answer in terms of π and as a decimal rounded to the nearest tenth. Show your work.

Respuesta :

the correct question is
Find the area of sector GHJ, given that theta = pi/4 radians. Express your answer in terms of pi and rounded to the nearest tenth (given that GH is a radius of 5 cm)

we know that
[area of a circle]=pi*r²
for r=5 cm
[area of a circle]=pi*5²----> 25*pi cm²

if 2*pi radians (full circle) has an area of ------------> 25*pi cm²
 pi/4 radians---------------------------> x
x=(pi/4)*25*pi/(2*pi)------> x=3.125*pi cm²
rounded to the nearest tenth------> x=3.1*pi cm²

the answer is
3.1*pi cm²