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Question 1

A)Which term would describe the distance around a circle?(1 point)
Responses

the diameter
the diameter

the radius
the radius

the circumference
the circumference

the chord
the chord
Question 2
A)If C=πd
, then what is the circumference of a circle when the radius is 97 m? Round to the nearest whole number.(1 point)
Responses

609 m
609 m

9,409 m
9,409 m

194 m
194 m

305 m
305 m
Question 3
A)If the circumference of a circle is 27 mm, then what is the diameter to the nearest tenth of a mm?(1 point)
Responses

17.2 mm
17.2 mm

4.3 mm
4.3 mm

8.6 mm
8.6 mm

84.8 mm
84.8 mm
Question 4
A)Describe the formula for finding the area of a circle: multiply π
by the length of(1 point)
Responses

a tangent.
a tangent.

a diameter.
a diameter.

an inscribed angle.
an inscribed angle.

a radius squared.
a radius squared.
Question 5
A)If the circumference of a circle is 198 feet, then what is the area to the nearest square foot?(1 point)
Responses

63 ft.2
63 ft. squared

3,120 ft.2
3,120 ft. squared

32 ft.2
32 ft. squared

99 ft.2
99 ft. squared

1 answer

Here are the correct answers to your questions:

Question 1 A) Which term would describe the distance around a circle?

  • the circumference (correct answer)

Question 2 A) If C=πd, then what is the circumference of a circle when the radius is 97 m? Round to the nearest whole number.

  • First, we need to find the diameter (d) from the radius (r): \[ d = 2 \times r = 2 \times 97 = 194 , m \]

    Then use the circumference formula (C = πd): \[ C = π \times 194 \approx 3.14 \times 194 \approx 609.26 , m \]

    Rounding to the nearest whole number gives 609 m (correct answer).

Question 3 A) If the circumference of a circle is 27 mm, then what is the diameter to the nearest tenth of a mm? Using the formula C = πd: \[ d = \frac{C}{π} \approx \frac{27}{3.14} \approx 8.6 , mm \] (correct answer).

Question 4 A) Describe the formula for finding the area of a circle: multiply π by the length of:

  • a radius squared. (correct answer)

Question 5 A) If the circumference of a circle is 198 feet, then what is the area to the nearest square foot? First, we find the diameter (d): \[ d = \frac{C}{π} \approx \frac{198}{3.14} \approx 63.14 , ft \]

Then we find the radius (r): \[ r = \frac{d}{2} \approx \frac{63.14}{2} \approx 31.57 , ft \]

Now, we can find the area (A) using the formula A = πr^2: \[ A \approx π \times (31.57)^2 \approx 3.14 \times 996.4649 \approx 3120.12 , ft^2 \]

Rounding to the nearest square foot gives 3,120 ft² (correct answer).

Here are the answers summarized:

  1. the circumference
  2. 609 m
  3. 8.6 mm
  4. a radius squared
  5. 3,120 ft²