Finding angles in a circle
Assistance needed.
Where in the circle? You need to be more specific. You need to draw lines inside the circle somewhere to form angles.
Perhaps you are talking about 1/4 of a circle being 90 degrees, etc.
MISTY DREW A TRIANGLE ONE ANGLE IS 12O TWO SIDES MEASURE 5CM AND 8CM IN LENGTH. THE SUM OF THE LENGTHS OF ALL THREE SIDES IS 21CM. WHAT KIND OF TRIANGLE DID MISTY DRAW?
PLEASE HELP ME THATS THE QUESTION ABOUT MISTY.
To find angles in a circle, we need to understand a few key concepts:
1. Circle: A circle is a shape that has a curved boundary and is composed of all the points in a plane that are a fixed distance from the center point. The distance from the center to any point on the boundary is known as the radius.
2. Arc: An arc is a portion of the circumference of a circle. It is defined by two endpoints on the circle and the region between these points on the boundary.
3. Central Angle: A central angle is an angle formed by two radii extending from the center of a circle to any two points on the circle's circumference.
Now, let's consider how to find angles in a circle:
1. Measure of Central Angle: The measure of a central angle is equal to the measure of the arc it intercepts on the circle. This means that if you know the measure of the arc, you can directly find the measure of the central angle.
2. Inscribed Angle: An inscribed angle is an angle formed by two chords that share the same endpoint on a circle's circumference. To find the measure of an inscribed angle, you can use the property that an inscribed angle is half the measure of the arc it intercepts.
3. Tangent-Chord Angle: A tangent-chord angle is formed by a tangent line and a chord that intersect on the circle's circumference. To find the measure of a tangent-chord angle, you can use the property that an angle formed at the point of tangency is always half the measure of the intercepted arc.
By applying these concepts and properties, you can find the measures of different angles in a circle. Remember to consider the specific information given in the problem and use the appropriate formulas or theorems to solve for the angles.