What is the measure of the central angle of a circle with radius 30 centimeters that intercepts an 18π centimeters arc?
1 answer:
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Answer:
25 in x 15 in
Step-by-step explanation:
Given:
- Length = 3/5 the width
- Area = 375 in²
Let width =
Therefore, length = 3/5
First create an equation for the area of the picture based on the given information for its width and length:
We are told the area of the enlarged picture is 375 in². Therefore, substitute this into the equation and solve for to find the width of the enlarged picture:
Therefore, the width of the enlarged picture is 25 in.
Substitute the found value of into the expression for length to find the length of the enlarged picture:
Therefore, the dimensions of the enlarged picture are <u>25 in x 15 in</u>. The width is 25 in and the length is 15 in, as the length is 3/5 of the width.