The base of a lampshade is in the shape of a circle and has a diameter of 13 inches. what is the circumference, to the nearest tenth of an inch, of the lampshade? (use 3.14 for π.)

question 3 options:

13.3 inches

20.4 inches

26.0 inches

40.8 inches

The circumference is found by multiplying the diameter by PI.

Circumference = 13 inches x 3.14 = 40.82

Rounded to the nearest tenth = 40.8 inches.

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°