Area and Circumference

Front

What is the formula for the area of a circle?

Back

The area of a circle is calculated using the formula A = πr², where A is the area and r is the radius.

Tags

CCSS.7.G.B.4

Front

What is the formula for the circumference of a circle?

Back

The circumference of a circle is calculated using the formula C = 2πr or C = πd, where C is the circumference, r is the radius, and d is the diameter.

Tags

CCSS.7.G.B.4

Front

What does the term 'diameter' refer to in a circle?

Back

The diameter is the distance across the circle, passing through the center, and is equal to twice the radius.

Tags

CCSS.HSG.C.A.2

Front

How do you calculate the radius if you know the diameter?

Back

The radius can be calculated by dividing the diameter by 2 (r = d/2).

Tags

CCSS.7.G.B.4

Front

What is the value of π (pi) approximately?

Back

The value of π (pi) is approximately 3.14.

Tags

CCSS.HSG.GMD.A.1

Front

If the radius of a circle is 5 inches, what is the area?

Back

The area is A = π(5)² = 78.5 square inches.

Tags

CCSS.7.G.B.4

Front

If the circumference of a circle is 31.4 inches, what is the radius?

Back

Using the formula C = 2πr, the radius r can be calculated as r = C/(2π) = 31.4/(2*3.14) = 5 inches.

Tags

CCSS.7.G.B.4

Front

What is the relationship between the area and circumference of a circle?

Back

The area and circumference are both related to the radius, but they measure different properties: area measures the space inside the circle, while circumference measures the distance around it.

Tags

CCSS.7.G.B.4

Front

What is the median of a data set?

Back

The median is the middle value of a data set when the numbers are arranged in order.

Tags

CCSS.6.SP.B.5C

Front

How do you find the median of the data set: 20, 1, 7, 19, 11, 19?

Back

First, arrange the data in order: 1, 7, 11, 19, 19, 20. Since there is an even number of values, the median is the average of the two middle numbers (11 and 19), which is 15.

Tags

CCSS.6.SP.B.5C