Answer:
[tex]Area = 0.785cm^2[/tex]
Step-by-step explanation:
Given
[tex]r = 1cm[/tex] -- radius
[tex]\theta = 90^{\circ}[/tex]
Required
Determine the area of the sector
This is calculated as:
[tex]Area = \frac{\theta}{360} * \pi r^2[/tex]
Substitute values for r and [tex]\theta[/tex]
[tex]Area = \frac{90}{360} * \pi * (1)^2[/tex]
Simplify 90/360
[tex]Area = \frac{1}{4} * \pi * (1)^2[/tex]
[tex]Area = \frac{1}{4} \pi[/tex]
Take [tex]\pi[/tex] as 3.14
[tex]Area = \frac{1}{4} * 3.14[/tex]
[tex]Area = 0.785cm^2[/tex]
