Question

the temperature, ( t ), in degrees celsius (( ^ { circ } c )) along a circular infrared stove measured ( d ) centimeters (cm) from the left edge of the circumference and going through the center of the stove is given by the graph. the hottest point occurs at the center of the stove. what is the diameter of the stove in centimeters?

Explanation:

Step1: Identify the center position

The hottest point is at the center. From the graph, the center is at \(d = 20\) cm (since the maximum of the temperature - distance graph occurs at this \(d\) - value).

Step2: Calculate the diameter

The diameter \(D\) of a circle is twice the radius. If the distance from the left - edge to the center (radius \(r\)) is \(r=20\) cm, then using the formula \(D = 2r\).
Substitute \(r = 20\) into the formula: \(D=2\times20\)

Answer:

\(40\)