Question
The circle-shaped part of the necklace above has a diameter of 5 mm.
The circumference of the circle-shaped part of each of the earrings is one-half the circumference of the necklace.
What is the circumference of the circle-shaped part of one of the earrings? (Use 3.14 for .)
The circumference of the circle-shaped part of each of the earrings is one-half the circumference of the necklace.
What is the circumference of the circle-shaped part of one of the earrings? (Use 3.14 for .)
Answers
GPT-4o mini
To determine the circumference of the circle-shaped part of the necklace, we first use the formula for circumference:
\[
C = \pi \times d
\]
Where \( C \) is the circumference and \( d \) is the diameter. Given that the diameter of the necklace is 5 mm:
\[
C_{necklace} = \pi \times 5 \text{ mm}
\]
Using \( \pi \approx 3.14 \):
\[
C_{necklace} = 3.14 \times 5 = 15.7 \text{ mm}
\]
According to the problem, the circumference of each earring is one-half the circumference of the necklace:
\[
C_{earring} = \frac{1}{2} \times C_{necklace}
\]
\[
C_{earring} = \frac{1}{2} \times 15.7 \text{ mm} = 7.85 \text{ mm}
\]
Thus, the circumference of the circle-shaped part of one of the earrings is \(\boxed{7.85}\) mm.
\[
C = \pi \times d
\]
Where \( C \) is the circumference and \( d \) is the diameter. Given that the diameter of the necklace is 5 mm:
\[
C_{necklace} = \pi \times 5 \text{ mm}
\]
Using \( \pi \approx 3.14 \):
\[
C_{necklace} = 3.14 \times 5 = 15.7 \text{ mm}
\]
According to the problem, the circumference of each earring is one-half the circumference of the necklace:
\[
C_{earring} = \frac{1}{2} \times C_{necklace}
\]
\[
C_{earring} = \frac{1}{2} \times 15.7 \text{ mm} = 7.85 \text{ mm}
\]
Thus, the circumference of the circle-shaped part of one of the earrings is \(\boxed{7.85}\) mm.