To find the area of the circle-shaped rug, we need to use the formula A = πr², where A is the area, π is 3.14, and r is the radius of the circle. We know that the circumference is 62.8 inches, which means that:
2πr = 62.8
Dividing both sides by 2π, we get:
r = 10
So the radius of the rug is 10 inches. Now we can plug this into the formula for area:
A = 3.14 x 10²
A = 314
Therefore, the area of the rug is 314 square inches, which is answer choice C.
Marcy is making a hooked circle-shaped rug for her mother. The circumference of the circle-shaped rug is 62.8 inches.
What is the area of the rug? (Use 3.14 for pie .)
A.
31.4 in2
B.
214 in2
C.
314 in2
D.
628 in2
3 answers
On a circular playground, the distance from its center to the edge of the playground is 40 feet. What is the approximate circumference of the playground? (Use 3.14 for pie .)
A.
251.20 ft
B.
5,024.00 ft
C.
20,096.00 ft
D.
125.60 ft
A.
251.20 ft
B.
5,024.00 ft
C.
20,096.00 ft
D.
125.60 ft
The distance from the center of the circle to its edge is the radius of the circle. We know that the radius is 40 feet. The formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius. Plugging in the values, we get:
C = 2 x 3.14 x 40
C = 251.2
Therefore, the approximate circumference of the playground is 251.2 feet, which is answer choice A.
C = 2 x 3.14 x 40
C = 251.2
Therefore, the approximate circumference of the playground is 251.2 feet, which is answer choice A.