Question

Unit 3 Lessons 1-4 Practice Problems

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Item 24
POSSIBLE POINTS: 21.33
Based on the given measurement in each situation below, estimate the other two measurements for the circle. Use 3.14 as an approximation for pi and round your answer to the nearest whole number.

Remember: Circumference= diameter × π OR Circumference= 2×radius× π

Type your answers in the boxes below.

1. The length of the minute hand on the clock is 5 inches.

Diameter:
inches Circumference:
inches

2. The distance across a sink drain is 3.8 cm.

Radius:
cm Circumference:
cm

3. The tires on a mining truck are 14 feet tall.

Radius:
feet Circumference:
feet

4. The fence around a circular pool is 75 feet long.

Diameter:
feet Radius:
feet

5. The distance from the tip of a slice of pizza to the crust is 7 inches.

Diameter:
inches Circumference:
inches

6. Breaking a cookie in half creates a straight side 10 cm long.

Radius:
cm Circumference:
cm

7. The length of the metal rim around a glass lens is 190 mm.

Diameter:
mm Radius:
mm

8. From the center to the edge of a DVD measures 60 mm.

Diameter:
mm Circumference:
mm

Answer 1

We applied the formulas for circumference and diameter to estimate the missing measurements for various circles. We used 3.14 as an approximation for pi and calculated the diameter or radius based on the information provided, then found the circumference accordingly.

Step-by-step explanation:

We are given various measurements related to circles and asked to find the missing measurements using 3.14 as an approximation for pi. The formulas we'll use are Circumference = Diameter × π (pi) and Diameter = 2 × Radius.

1. The minute hand length of 5 inches is the radius. Therefore,

Diameter = 2 × Radius = 2 × 5 = 10 inches.

Circumference = 2 × Radius × π = 2 × 5 × 3.14 = 31.4 inches.

2. The distance across the sink is the diameter of 3.8 cm.

Radius = Diameter / 2 = 3.8 / 2 = 1.9 cm.

Circumference = Diameter × π = 3.8 × 3.14 = 11.932 cm.

3. The tires are 14 feet tall, which is the diameter.

Radius = Diameter / 2 = 14 / 2 = 7 feet.

Circumference = Diameter × π = 14 × 3.14 = 43.96 feet.

4. The fence, which is the circumference, is 75 feet.

Diameter = Circumference / π = 75 / 3.14 = 23.89 feet.

Radius = Diameter / 2 = 23.89 / 2 = 11.945 feet.

5. The pizza slice length from tip to crust of 7 inches is the radius.

Diameter = 2 × Radius = 2 × 7 = 14 inches.

Circumference = 2 × Radius × π = 2 × 7 × 3.14 = 43.96 inches.

6. The straight side of the cookie being 10 cm is the diameter.

Radius = Diameter / 2 = 10 / 2 = 5 cm.

Circumference = Diameter × π = 10 × 3.14 = 31.4 cm.

7. The metal rim length of 190 mm is the circumference.

Diameter = Circumference / π = 190 / 3.14 = 60.51 mm.

Radius = Diameter / 2 = 60.51 / 2 = 30.255 mm.

8. The DVD's center to edge measure of 60 mm is the radius.

Diameter = 2 × Radius = 2 × 60 = 120 mm.

Circumference = 2 × Radius × π = 2 × 60 × 3.14 = 376.8 mm.