angle bcd is a circumscribed angle of circle a. what is the measure of minor arc bd? 40° 50° 80° 100°

The correct option is 4. The measure of minor arc BD is 100°.

Step-by-step explanation:

Given information: ∠BCA=40° and ∠BCD is a circumscribed angle of circle A.

Since ∠BCD is a circumscribed angle of circle A, therefore the line AC bisects ∠BCD.

Let the measure of minor arc BD be x. So, the measure of major arc BD is 360-x.

According to the properties of intersection of arcs outside the side the circle,

The measure of minor arc BD is 100°. Therefore correct option is 4.

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6