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Find a degree 
Magazine Problem 1
Find the circumference of the circle. Then approximate the circumference to the nearest hundredth. a. A circle whose diameter is \(21 \mathrm{mm}\) b. A circle whose radius is 6 mm.
Problem 3
Find the length of each arc of a circle with a radius of \(10 .\) a. A \(72^{\circ}\) arc b. A \(90^{\circ}\) arc c. A \(60^{\circ}\) arc d. A semicircle
Problem 4
A bicycle has wheels \(30 \mathrm{cm}\) in diameter. Find, to the nearest tenth of a centimeter, the distance that the bicycle moves forward during a. 1 revolution b. 10 revolutions c. 1000 revolutions
Problem 5
Can a parallelogram with a \(100^{\circ}\) angle be inscribed in a circle?
Problem 6
Given: PQRST is a regular pentagon. ABCDEF is a regular hexagon. a. \( \mathrm{m} \widehat{\mathrm{PQ}}\) b \(\mathrm{m} \widehat{\mathrm{RT}}\) c \(\mathrm{m} \widehat{\mathrm{AB}}\) d \(\mathrm{m} \widehat{\mathrm{BD}}\) e \(\mathrm{m} \widehat{\mathrm{DEA}}\)
Problem 6
A fly is sitting at the midpoint of a wooden chord of a circular wheel. The wheel has a radius of \(10 \mathrm{cm},\) and the chord has a length of \(12 \mathrm{cm} .\) a How far from the hub (center) is the fly? b The wheel is spun. What is the path of the fly?
Problem 7
a If a rhombus is inscribed in a circle, what must be true about the rhombus? b If a trapezoid is inscribed in a circle, what must be true about the trapezoid?
Problem 8
Find, to the nearest tenth, the circumference and the area of a circle whose diameter is \(7.8 \mathrm{cm}\).
Problem 8
Prove: The bisector of an angle of an inscribed triangle also bisects the arc cut off by the opposite side.
Problem 10
Find the measure of an arc that is a \(\frac{3}{5}\) of its circle \(\quad\) b \(\frac{5}{9}\) of its circle c \(70 \%\) of its circle
