Segment Lengths and Angles in Circles

Rachel explains how to find angle measures and segment lengths in circles. For angles formed by intersecting segments inside a circle, the measure is half the sum of the intercepted arcs. For angles formed outside the circle, it's half the difference of the arcs. Segment lengths are found by multiplying the products of intersecting segments, which remain constant. The tutorial covers both internal and external intersections, providing formulas and examples for each scenario.

What is the first step in finding the measure of an angle formed by two intersecting segments inside a circle?

• Multiply the intercepted arcs

• Divide the intercepted arcs

• Add the intercepted arcs

• Subtract the intercepted arcs

How do you find the measure of an angle formed by two intersecting segments inside a circle?

• It is double the sum of the intercepted arcs

• It is the difference of the intercepted arcs

• It is equal to the sum of the intercepted arcs

• It is half the sum of the intercepted arcs

What is the relationship between vertical angles formed by intersecting segments inside a circle?

• They are complementary

• They are different

• They are supplementary

• They are equal

When segments intersect outside a circle, how is the angle measure determined?

• By multiplying the intercepted arcs

• By subtracting the intercepted arcs

• By dividing the intercepted arcs

• By adding the intercepted arcs

What is the formula for finding the angle measure when segments intersect outside a circle?

• Double the sum of the intercepted arcs

• Half the difference of the intercepted arcs

• Double the difference of the intercepted arcs

• Half the sum of the intercepted arcs

Why is the angle formed by segments intersecting outside a circle smaller?

• Because it is half the sum of the arcs

• Because it is half the difference of the arcs

• Because it is double the sum of the arcs

• Because it is double the difference of the arcs

What is the relationship between the products of segment lengths when they intersect outside a circle?

• The products are unrelated

• The products are equal

• The product of one pair is lesser

• The product of one pair is greater

How do you calculate the segment lengths when segments intersect outside a circle?

• By adding the lengths

• By subtracting the lengths

• By dividing the lengths

• By multiplying the lengths

What is the formula for segment lengths when segments intersect outside a circle?

• a * b = c * d

• a - b = c - d

• a / b = c / d

• a + b = c + d

If a segment is divided into parts a and b, and another into c and d, what is the relationship when they intersect outside a circle?

• a - b = c - d

• a / b = c / d

• a * (a + b) = c * (c + d)

• a + b = c + d