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Approximately how many square inches of space are blank?

Approximately How Many Square Inches Of Space Are Blank class=

Sagot :

thebecks

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.

What is a circle?

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

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