Answer:
63.59 in²
Step-by-step explanation:
The formula to find the area of a square: a², where a is the side.
The formula to find the area of a circle: πr², where r is the radius (diameter ÷ 2), and the pi is alterable (3.14 or 3.142 or 22/7).
1) Find the diameter of the circle. The side of a square is the diameter.
a²
a = √81
a = 9
2) Plug the values into the formula of the area of a circle. 9 ÷ 2 = 4.5 (radius).
= 3.14 x 4.5²
= 3.14 x 20.25
= 63.585
3) Round off the result to the nearest hundredth.
= 63.59
The largest circle possible from the square piece of yellow felt material to create a sun for her art project is of area 63.585 square inches.
Area is the quantity that expresses the extent of a region on the plane or on a curved surface
According to the question
Square piece of yellow felt that has an area = 81 square inches
Now ,
Area of square of yellow felt = 81 square inches
⇒ [tex]Side^{2} = 81[/tex]
⇒ Side = ± 9 (where -ve 9 cannot be side )
⇒ Side = 9
The largest circle possible from the material is
where, side of square = diameter of circle ( figure attached )
⇒ 9 = diameter of circle
⇒ 9 = 2r
⇒ [tex]\frac{9}{2}[/tex] = r or r = 4.5
Area of circle = [tex]\pi r^{2}[/tex]
= 3.14 * 4.5 * 4.5
= 63.585 square inches.
Hence, Area of the largest circle cut from the square piece is of 63.585 square inches.
To know more about Area here :
https://brainly.com/question/27683633
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