Question

question 2 (3 points)
choose the vocabulary word that goes with the following definition.
the distance from the center of a circle to any point on the circle.
diameter
radius
capacity
pi
question 3 (3 points)
choose the vocabulary word that goes with the following definition.
the length across a circle, passing through the center of the circle.
diameter
surface area
radius
volume
question 4 (4 points)
match the fahrenheit temperatures to their corresponding celsius temperatures.
celsius to fahrenheit °f = 9/5 °c + 32
fahrenheit to celsius °c = 5/9 (°f - 32)
86°f
75°f
280°f
284°f
50°f
1 10°c
2 30°c
3 140°c

1. no match

Explanation:

Question 2

Step1: Recall circle - related definitions

The distance from the center of a circle to any point on the circle is the radius.

Question 3

Step1: Recall circle - related definitions

The length across a circle, passing through the center of the circle is the diameter.

Question 4

Step1: Convert 86°F to Celsius

Use the formula $^{\circ}C=\frac{5}{9}(^{\circ}F - 32)$. Substitute $^{\circ}F = 86$: $^{\circ}C=\frac{5}{9}(86 - 32)=\frac{5}{9}\times54 = 30^{\circ}C$.

Step2: Convert 75°F to Celsius

Substitute $^{\circ}F = 75$ into the formula $^{\circ}C=\frac{5}{9}(^{\circ}F - 32)$: $^{\circ}C=\frac{5}{9}(75 - 32)=\frac{5}{9}\times43\approx23.9^{\circ}C$, no match.

Step3: Convert 280°F to Celsius

Substitute $^{\circ}F = 280$ into the formula $^{\circ}C=\frac{5}{9}(^{\circ}F - 32)$: $^{\circ}C=\frac{5}{9}(280 - 32)=\frac{5}{9}\times248\approx137.8^{\circ}C$, no match.

Step4: Convert 284°F to Celsius

Substitute $^{\circ}F = 284$ into the formula $^{\circ}C=\frac{5}{9}(^{\circ}F - 32)$: $^{\circ}C=\frac{5}{9}(284 - 32)=\frac{5}{9}\times252 = 140^{\circ}C$.

Step5: Convert 50°F to Celsius

Substitute $^{\circ}F = 50$ into the formula $^{\circ}C=\frac{5}{9}(^{\circ}F - 32)$: $^{\circ}C=\frac{5}{9}(50 - 32)=\frac{5}{9}\times18 = 10^{\circ}C$.

Answer:

Question 2: Radius
Question 3: Diameter
Question 4:
86°F - 2. 30°C
75°F - 4. No Match
280°F - 4. No Match
284°F - 3. 140°C
50°F - 1. 10°C