0
What else can I help you with?
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.
If A tangent tangent angle intercepts two arcs that measure 135 degrees and 225 degrees what is the measure of the tangent tangent angle?
The tangent-tangent angle is formed by two tangents drawn from a point outside a circle to points on the circle. To find the measure of the tangent-tangent angle, you take half the difference of the intercepted arcs. In this case, the arcs measure 135 degrees and 225 degrees. Therefore, the measure of the tangent-tangent angle is (\frac{1}{2} (225^\circ - 135^\circ) = \frac{1}{2} (90^\circ) = 45^\circ).
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.
What is the measure of angle abc in a circle 134 degrees?
In a circle, the measure of an angle formed by two chords that intersect at a point inside the circle is equal to the average of the measures of the arcs intercepted by the angle. If angle ABC measures 134 degrees, it means that the angle is formed by the intersection of two chords, and the measure of the arcs it intercepts will average to this angle. Thus, angle ABC is 134 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 conditions must be met for two arcs to be congruent?
Two arcs are congruent if they have the same measure in degrees or radians and are parts of the same circle or circles of equal radius. Additionally, if the arcs are on different circles, they must subtend the same central angle. This ensures that the lengths of the arcs are equal, meeting the congruence condition.
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.
