The formula because that the circumference of a circle is C=2∏r, in i beg your pardon r=radius. To discover the radius, then, us insert 18 in for the circumference. Therefore 18=2∏r. Solving for r provides 9/∏, or roughly 2.86 inches.
You are watching: Area of a 18 inch circle
Now the we have actually the radius, us can uncover the area. The formula because that the area the a one is A=∏r2. For this reason inserting 9/∏ because that r gives us A=∏(9/∏)2. Then A=∏(81/∏2). Simplifying provides A=81/∏, or roughly 25.78 inches.
Hey Amanda -- sorry around the so late answer!
Circumference (C) is "the walk-around": C is about 3x diameter or 6x radius (adjust by5%to it is in closer) ... Foryour example, radius (r)is C/6 or 3" (subtract 5% or 0.15 to gain 2.85").
For Area (A), an initial visualize a square: radius (r) would be half a next ... Area ofsquare is 2r*2r or 4r*r ... Next, visualize a square-shaped diamond within the 1st box -- diamond corners touching North, South, East, West. Area of within diamond is 1/2 the outer box or 2r*r ... Finally, attract acircle poignant the inside edges of the 1st outer crate ... The one area is in between the external box area 4r*r and the inner diamond area of2r*r ... One area would be 3r*r or 3*3*3 or27 sq.in. (subtract 5% or 1.35 to get 25.65 sq.in.)
CIRCLE SUMMARY: "Walk-around" (C)is 3x the "walk-across" or 6x the radius (add 5% pointer for closer C) ... Area is 3x radius squared or 3/4 of the diameter squared (add a 5% pointer for closer Area)
Best wishes, ma"am :)
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