A fisherman recorded the weight of his catch, broken down by type of fish.Red snapper55%Salmon45%Kilograms of fishWhat is the measure of the central angle in the "Red snapper" section?°
Question
A fisherman recorded the weight of his catch, broken down by type of fish.Red snapper55%Salmon45%Kilograms of fishWhat is the measure of the central angle in the "Red snapper" section?°
Solution
The central angle of a circle is 360 degrees. If the "Red snapper" section represents 55% of the fisherman's catch, then the central angle for this section would be 55% of 360 degrees.
Step 1: Convert the percentage to a decimal by dividing by 100. So, 55% becomes 0.55.
Step 2: Multiply the total degrees in a circle (360 degrees) by the decimal.
So, 0.55 * 360 = 198 degrees.
Therefore, the measure of the central angle in the "Red snapper" section is 198 degrees.
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