17. I have a round shape photo with an area of 400πin2. If I want to frame it, what will be the frame length? Don't round your final answer and use 3.14 for π.
Q. 17. I have a round shape photo with an area of 400πin2. If I want to frame it, what will be the frame length? Don't round your final answer and use 3.14 for π.
Find Circumference of Photo: To find the frame length, we need to find the circumference of the round photo since the frame will go around the photo.
Calculate Radius: The formula for the area of a circle is A=π⋅r2, where A is the area and r is the radius. We know A=400π, so we can solve for r.
Solve for Radius:400π=π∗r2Divide both sides by π to isolate r2.400=r2
Find Frame Length: Now, take the square root of both sides to solve for r.r=400r=20 inches
Calculate Circumference: The formula for the circumference of a circle is C=2×π×r. We know r=20 inches and π=3.14.
Calculate Circumference: The formula for the circumference of a circle is C=2×π×r. We know r=20 inches and π=3.14. C=2×3.14×20C=6.28×20C=125.6 inches