Question

If the problem type is labeled “ClickAndPlace”, click the item to select it and then click the location where it belongs; otherwise, click the item and drag it into place.

Express answer in exact form.

Find the area of the smaller segment whose chord is 8" long in a circle with an 8" radius


GIVING OUT MEDALS IF ANYONE HELPS ME !!!!

Answer 1

Chord AB = 8
radius OA = 8
draw perpendicular
sinø = AM/OA = 4/8 = 1/2
ø = 30°
<AOB = 2 × 30 = 60°
area of arc = 60/360 × π × 8² = 33.49
for area of triangle OAB
OM = √(8² – 4²) = 6.93
area of triangle = 1/2 × 6.93 × 8 = 27.71
area of minor segment = 33.49 – 27.71 = 5.78 in²