How to Solve Circle Math Problems
Circle math problems are one of the most intriguing aspects of mathematics. Their dimensions are not as obviously apparent as those of squares, rectangles and triangles. At a glance, solving a circle math problem can appear to be a daunting and tedious task. However, there is hope! There are several equations used just for solving circle math problems. Knowing and using these equations for circle math problems will undoubtedly take the headache and intimidation out of solving them.
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Instructions
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Equations used for circles
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1
Find the radius (R), or distance from the center of the circle to the edge, by dividing the diameter (the distance from one edge of the circle all the way to the other) by 2. For example, if the diameter is 10, then the radius would be 10 divided by 2, or 5. Find the diameter, inversely, by multiplying 2 x R.
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Find the circumference of a circle (the distance around a circle) by multiplying 2 x π (the symbol used as a substitute for 3.14) x R. For example, if the radius is 10, then the answer would be 2 x π x 10, or 20π.
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Find the area (the space inside of the circle) by multiplying π x R x R (π x R squared). For example, if the radius is 10, then the answer would be π x 10 x 10, or 100π.
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4
Find the measurement of an arc inside of a circle by multiplying the inscribed angle's measurement by 2. For example, if angle AB=70 degrees, then the arc would 70 x 2, or 140 degrees.
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5
Find the measurement of a right angle inside of a circle by using the Pythagorean Theorem (A squared + B squared = C squared, where C is the line segment across from the right angle). For example, if A = 5 and B = 10, then 5x5 + 10x10 = 125. Find the squared root of 125 to solve for A, which is approximately 11.
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Tips & Warnings
Substitute 3.14 for π if the math problems instruct you to do so.
References
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