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explain how to solve the TWO questions over area and circumference of cirlces.

1. John painted a tabletop that is shaped like a circle. The diameter of the tabletop is 5 feet. What is the area of the tabletop in square feet? (round the answer and explain the steps)

2. A group of students sat in a circle to play a game. The circle had a diameter of 20 meters. What is the circumference of the circle in meters. (round the answer abd explain the steps)


Sagot :

Answer:

1. 20ft²

2. 63m

Step-by-step explanation:

Terms to know before you start:

r:  radius

d: diameter

1. Area of a circle: πr² or π × r × r

Ï€: 3.14

Diameter: 5 feet

Radius: [tex]\frac{d}{2}[/tex], [tex]\frac{5}{2}[/tex] = 2.5 feet

Area: 3.14 × 2.5 × 2.5

Area: 19.625 ft²

Area (to the nearest whole number): 20ft²

2. There are two ways in solving this question.

The first and faster method:

Circumference: πd or π × d

Ï€: 3.14

d: 20m

Circumference: 3.14 × 20

Circumference: 62.8m

Circumference (to the nearest whole number): 63m

The second method:

Circumference: 2πr or 2 × π × r

Ï€: 3.14

r:  [tex]\frac{d}{2}[/tex], [tex]\frac{20}{2}[/tex] = 10m

Circumference: 2 × 3.14 × 10

Circumference: 62.8

Circumference (to the nearest whole number): 63m