Geometry hw 1-3

Area formula

A = πr²

Circumference formula

C = 2πr

Arc length formula

l = x⋅c/360 (where x = degree of arc and c = circumference)

Center

point P, point X

Radius

QP, PN, MP, UX, RX, XY

Chord

QR, MN, WY

Diameter

RY, QN

Secant

UY, LN

Tangent

LQ, ST

Point of tangency

point R, point Q

Minor arc

MQ, UW, and many others

Major arc

UYW, MNQ, and many others

Semicircle

QRN, RUY

Central angle

<QPM, <UXR, and others

Inscribed angle

<NQR, <UYR, and others

Find each measure:

x =

arc DE =

arc EF =

arc DFG =

x = 16°

arc DE = 167°

arc EF = 13°

arc DFG = 347°

Find the circumference of a circle with an area of 676π square milimeters (work on other side)

A ferris wheel has a diameter of 225 feet. If a passenger gets in a car and travels 38 feet, when the wheel stops to let more passengers on, find the angle of rotation to the nearest degree (work on other side)