Question

A circle with a radius of 4.3 cm is centered at the vertex of an angle. a. Suppose the angle has a measure of 235 degrees. i. What is the radian measure of this angle? radians Preview i. What is the length (in cm) of the arc subtended by the angle's rays along the circle? cm Preview b.s b. Suppose θ represents the varying degree measure of the angle. Write an expression that represents the length (in cm) of the arc subtended by the angle's rays along the circle. (Enter "theta" for 0.) cm Preview

Answer 1

Answer:

1).  $\frac{47\pi }{36}$ radians

2). 634.59 cm

Step-by-step explanation:

A circle has the radius = 4.3 cm and the angle subtended by the arc at the center = 235°

1). Radian measure of the given angle = θ × $\frac{\pi }{180}$

= $235\times \frac{\pi }{180}$

= $\frac{47\pi }{36}$ radians

2). Length of the arc subtended by the angle's ray along the circle will be

Length of the arc = rθ    [where r = radius of the circle.]

= $4.3\times \frac{47\pi }{36}$

= $\frac{4.3\times 47\times 3.14}{36}$

= 634.59 cm