Digits, Grade 7, Volume 1, Homework Helper

### 4-6: TEKS Practice

• 1. The ratio of the area of a circle to the circumference of a circle, eh over c , comma , is 13 over 1 . Find the circumference of the circle. Write your answer in terms of π.

• 2. Find the area inside the square and outside the circle. Use 3.14 for π. Round to the nearest hundredth as needed.

• 3. A farmer is putting up a fence for her animals. She originally had the fence enclosing a square area. The square was 19 ft by 19 ft. Suppose she uses the same amount of fencing to enclose a circular area. What is the area of the circle? Use 3.14 for π. Round to the nearest whole number as needed.

• 4.

• a. Find the area of the shaded region. Use 3.14 for π. Round to the nearest hundredth as needed.

• b. What would happen to the area if one of the dimensions were changed? Explain your reasoning.

• 5. Reasoning The ratio of the area of a circle to the circumference of a circle, eh over c , is 18 over 1 , .

• a. Find the circumference of a circle with four times the radius of the given circle. Write your answer in terms of π.

• b. How do the area and the radius of a circle four times the size differ from the original circle? Explain.

• 6. A circular flower bed is 20 m in diameter and has a circular sidewalk around it that is 3 m wide. Find the area of the sidewalk in square meters. Use 3.14 for π. Round to the nearest whole number as needed.

• 7. The face of a clock is a circle. The ratio of the area, in square centimeters, of the face of the clock to the circumference, in centimeters, of the face of the clock, eh over c , is 26 over 1 . Find the circumference of the face of the clock. Use 3.14 for π. Round to the nearest hundredth as needed.

• 8.

• a. Find the perimeter of the figure a student has drawn in art class. Use 3.14 for π. Round to the nearest hundredth as needed.

• b. Draw another figure that has the same perimeter as the given figure.

• 9. Mental Math You purchased a circular table and you have to figure out whether it will fit through a doorway that is 24 in. wide. If the table will not fit, you can remove the legs from the table and turn it sideways to get it through the door.

• a. The table is measured in inches. The ratio of the area of the table to the circumference of the table, A/C, is 13 over 1 . Find the diameter of the table.

• b. Will your table fit through the doorway or do you need to take the legs off and turn it sideways?

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