Multiple choice

If in a circle, measure of major arc is four times the measure of minor arc, then measure of major arc is

  1. 288$^o$
  2. 224$^o$
  3. 128$^o$
  4. 72$^o$
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A Correct answer
Explanation

A full circle is 360 degrees. Let the minor arc be x. Then the major arc is 4x. x + 4x = 360, so 5x = 360, x = 72. The major arc is 4 * 72 = 288 degrees.

AI explanation

The total measure of all arcs forming a complete circle is 360 degrees. If the minor arc measures x degrees, the major arc measures 4x degrees, so x + 4x = 360. Solving this gives 5x = 360, meaning x = 72; the major arc is 4 multiplied by 72, which equals 288 degrees.

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