Respuesta :
a. The area of the circle with a diameter of 2 inches is less than the area of a 2-inch square.
b. The area of the 1-inch diameter circle is 0.785 sq. inch.
c. The area of the 4-inch diameter circle is 12.56 sq. inches.
a. Diameter of the circle is 2 inches.
hence, the radius of the circle is diameter/2 = 2/2 = 1 inch.
The area of the circle is
= π [tex]r^{2}[/tex]
Here, π =3.14
= 3.14 x [tex]1^{2}[/tex]
= 3.14 sq. inch
<4sq.inch
Now, let's find out the area of the square with a side length= 2 inch
The area of the square is
= side x side
= 2×2
= 4 sq. inch
hence, we can say that -
area of the circle < area of the square.
Thus, the area of the circle with a diameter of 2 inches is less than the area of a 2-inch square.
b. Diameter of the circle is 1 inch.
hence, the radius of the circle is diameter/2 = 1/2 = 0.5 inch.
The area of the circle is
= π [tex]r^{2}[/tex]
Here, π =3.14
= 3.14 x [tex](0.5)^{2}[/tex]
= 3.14 x 0.25
= 0.785 sq. inch
Hence, the area of the 1-inch diameter circle is 0.785 sq. inch.
c. Diameter of the circle is 4 inches.
hence, the radius of the circle is diameter/2 = 4/2 = 2 inches.
The area of the circle is
= π [tex]r^{2}[/tex]
Here, π =3.14
= 3.14 x [tex](2)^{2}[/tex]
= 3.14 x 4
= 12.56 sq. inch
Hence, the area of the 4-inch diameter circle is 12.56 sq. inches.
Read more about the Area of a circle:
brainly.com/question/14068861
#SPJ4
The complete question is -
a. Is the area of a circle with a diameter of 2 inches greater than or less than the area of a 2-inch square?
b. What is the area of a 1- inch diameter circle?
c. What is the area of a 4-inch circle?
