To answer, determine first the circumference of the circle by the equation,
C = 2πr
Substituting the known values,
C = 2π(6 in.) = 12π in
Then, multiply this calculated value with the ratio of the intercepted central angle to the total revolution.
measure of arc = (12π in)(45°/360°)
measure of arc = 1.5π in
Thus, the measure of the arc is approximately 1.5π in.
Answer:
72.96
Step-by-step explanation:
Let the first circle's radius be r and quarter circle's radius be R
Area of circle = π
= 3.14 × 8 × 8
= 200.96
Area of quarter circle = π/4
= 3.14 × 16 × 16
= 803. 84/4
=200.96
Area of shaded portion = (Area of Quarter circle - Area of semi-circle ACD - Area of triangle ABC) + (Area of the circle - Area of semi-circle ACD - Area of triangle ABC)
Area of Semi-circle = Area of the circle divided by 2
= 100.48
Area of triangle =
=
= 64
Therefore, The area of shaded portion= (200.96-100.48-64) + (200.96 - 100.48 - 64)
= 36.48 +36.48
=72.96
8. 0, 12,-45,-156.
9.
A. -27
B. -27,-19,-13,-5,4,0
C. 0