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How many 90 degrees arcs in a complete circle?
Any number from 4 to infinity, depending on whether the arcs are allowed to overlap
A tangent-tangent angle intercepts two arcs that measure 149 and 211 What is the measure of the tangent-tangent angle?
31 degrees
A tangent-tangent angle intercepts two arcs that measure 124 and 236 What is the measure of the tangent-tangent angle?
236-124/2=56 degrees
What is the arc of X in a circle whose degrees are 20 degrees 140 degrees and 50 degrees?
If the circumference is split into 4 arcs then the 4th arc is 360-20-140-50 = 150 degrees
What measure of a intercepted arc?
Examples to show how to use the property that the measure of a central angle is equal to the measure of its intercepted arc to find the missing measures of arcs and angles in given figures.
How many 90 degrees arcs in a complete circle?
Any number from 4 to infinity, depending on whether the arcs are allowed to overlap
A circle is didvided into n congruent arcs. What is the measure of each arc if n equals 4?
It is: 360/4 = 90 degrees
A unit of measure used in measuring angles and arcs?
The unit of measure used for angles and arcs is called degrees. A full circle is divided into 360 degrees. Alternatively, radians can also be used as a unit of measure, where a full circle is equivalent to 2π radians.
Are arc measurements additive?
Yes, as long as the arcs do NOT overlap.
A tangent-tangent angle intercepts two arcs that measure 149 and 211 What is the measure of the tangent-tangent angle?
31 degrees
A tangent-tangent angle intercepts two arcs that measure 135 and 225 What is the measure of the tangent-tangent angle?
45 degrees
The measure of an angle formed by two secants intersecting inside the circle equals?
½ the sum of the intercepted arcs.
A tangent-tangent angle intercepts two arcs that measure 124 and 236 What is the measure of the tangent-tangent angle?
236-124/2=56 degrees
Are measures of minor arcs equal measures of inscribed angles?
No. The first is a measure of length, the second is a measure of angular displacement. If you have two circles with arcs of the same angular measure, the lengths of the arcs will not be the same.
Arcs of the same circle or congruent circles that have the same measure?
Congruent Arcs
Divide a circle into 5 parts?
The circumference of a circle is 360 degrees so measure out five 72 degree arcs and join them to the centre of the circle.
What is the measure of an angle formed by a tangent and a secant drawn to a circle from an external point if it intercepts arcs whose measures are 70 and 30?
20 degrees
