Answer:
blank area = 1.5π units²
Step-by-step explanation:
area of full circle = πr² = π6² = 36π units²
blank area = (15/360)(36π) = 1.5π units²
The area blank in a circular mosaic pattern is 4.71 square units.
A circle is a collection of all points in a plane which are at a constant distance from a fixed point. A circle is a round-shaped figure that has no corners or edges.
For the given situation,
The diagram shows the circle with a central angle cutout.
The central angle, θ = 15°
Radius of the circle, r = 6 units
The formula of area blank in circle is
[tex]Area_{blank} = \frac{\theta}{360}\pi r^{2}[/tex]
⇒ [tex]Area_{blank} = \frac{15}{360}(3.14) (6)^{2}[/tex] [∵ π = 3.14 ]
⇒ [tex]Area_{blank} = 0.0416(3.14) (36)[/tex]
⇒ [tex]Area_{blank} = 4.71[/tex]
Hence we can conclude that the area blank in a circular mosaic pattern is 4.71 square units.
Learn more about circles here
https://brainly.com/question/10945528
#SPJ2