A radio station has a broadcast area in the shape of a circle with equation x2+ y2=5,625, where the constant represents square m iles.
-Graph the equation and state the radius in miles.
-What is the area of the region in which the broadcast from the station can be picked up?
1 answer:
Answer:
r = 75 mi; A = 17 671 mi²
Step-by-step explanation:
(a) Graph
The equation for a circle is
x² + y² = r²
Your equation is
x² + y² = 5625 = 75²
The graph is a circle with a radius of 75 mi .
(b) Broadcast area
A = πr² = π × 75² = π × 5625 ≈ 17 671 mi²
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