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The diameter (d) of a circle is twice the radius (r). A circle's circumference is  d or 2r ( = 3.14 or 22/7- which is approximately 3.14).
A central angle has its vertex at the center of a circle, and its measure equals the measure of the arc it intercepts (in degrees). For example, if  AOB = 60 , then the measure of arc AB is 60°, or 60/360 = 1/6 of the circle's circumference.
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Circumference = 2r =d
AOB = arc AB |
An inscribed angle has its vertex on the circle itself, and its measure is 1/2 of the measure of the arc it intercepts:
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ACB = 1/2 arc AB. |
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A line that just touches a circle is called a tangent. It is perpendicular to the radius drawn to the point of touching. |
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ABC is a right triangle if CB is the diameter. A triangle inscribed in a circle is a right triangle if one of its sides is a diameter. Obviously, A has its vertex on the circle, and it intercepts half of the circle so that A = 180°/ 2 = 90°.
Note: if an inscribed triangle has a leg as the diameter, that leg is the hypotenuse. |
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