Nsider circle O below. The length of arc BA is 8.4 cm and the length of the radius is 8 cm. The measure of angle AOC is 45°. Circle O is shown. Line segments B O, A O and C O are radii with length 8 centimeters. The length of arc B A is 8.4 centimeters. Angle A O C is 45 degrees. Rounded to the nearest whole degree, what is the measure of angle BOA?

Step-by-step explanation:

Angle BOA = length of arc/radius

=8.4/8

= 1.05 radians

= 1.05*180/pi

= 60.16°

= 60°

Angle AOC = 45°

Angle BAC = 60.16 + 45

= 105.16°

Arc BAC = radius * angle (degrees) * pi /180

= 8 × 105.16 × (3.14159/180)

= 14.683 cm

= 14.7 cm

a.

step-by-step explanation:

step 1 distribute 2 to every term in the parentheses

step 2 add 10 on both sides of the equal sign