GEO #7 Circles B

Front

What is the relationship between the angles formed by secants and/or tangents that intersect on the exterior of a circle?

Back

The measure of the angle formed is equal to half the difference of the intercepted arcs.

Front

What is the measure of angle ABC if the options are 74, 124, 176, and 44?

Back

74

Front

If PQ is found to be 29, what does this represent in the context of circles?

Back

PQ represents the length of a segment related to the circle, possibly a chord or a secant.

Front

What is the formula to find the length of a chord in a circle?

Back

The length of a chord can be found using the formula: L = 2r * sin(θ/2), where r is the radius and θ is the central angle.

Front

If NL is found to be 40, what does this indicate?

Back

NL indicates the length of a segment related to the circle, possibly a chord or a secant.

Front

What is the definition of a secant in relation to a circle?

Back

A secant is a line that intersects a circle at two points.

Front

What is the definition of a tangent in relation to a circle?

Back

A tangent is a line that touches a circle at exactly one point.

Front

How do you find the angle formed by two secants that intersect outside a circle?

Back

The angle is found by taking half the difference of the measures of the intercepted arcs.

Front

What is the measure of angle ABC if the options are 74, 124, 176, and 44?

Back

74

Front

What is the significance of the intercepted arcs in circle geometry?

Back

Intercepted arcs are the arcs that lie between the points where the secants or tangents intersect the circle.