Answer:
41.89 square units
Explanation:
You want the area of 48° sector JKL in circle K of radius 10 units.
Area
The area of a sector is given by the formula ...
A = 1/2r²θ
where r is the radius and θ is the central angle in radians.
Application
The radian measure of an angle of 48° can be found by multiplying it by (π/180°). Here, we have ...
θ = 48° = (48°)(π/180°) radians = 4π/15 radians
Then the area is ...
A = 1/2(10²)(4π/15) = 40π/3 ≈ 41.89 . . . . square units
The area of sector JKL is about 41.89 square units.
<95141404393>