Question

1. find the radius, diameter, and circumference with the given information.

a. ( r = 13.1 )
b. ( r=)
( d = 16 )
( c=)
( c=)
c. ( r=)
( d=)
( c = 10pi )
( 10pi )
( d=)
( c = 100 )
( c=)

Explanation:

Step1: Find diameter and circumference for a

• Diameter: \(d = 2r\), so \(d=2\times13.1 = 26.2\)
• Circumference: \(C=\pi d\), so \(C = 3.14\times26.2=82.268\)

Step2: Find radius and circumference for b

• Radius: \(r=\frac{d}{2}\), so \(r=\frac{16}{2}=8\)
• Circumference: \(C=\pi d\), so \(C = 3.14\times16 = 50.24\)

Step3: Find radius, diameter for c

• Diameter: \(d=\frac{C}{\pi}\), so \(d=\frac{10\pi}{\pi}=10\)
• Radius: \(r=\frac{d}{2}\), so \(r = 5\)

Step4: Find radius, diameter for d

• Diameter: \(d=\frac{C}{\pi}\), so \(d=\frac{100}{3.14}\approx31.85\)
• Radius: \(r=\frac{d}{2}\), so \(r=\frac{31.85}{2}\approx15.93\)

Answer:

a. \(d = 26.2\), \(C=82.268\)
b. \(r = 8\), \(C = 50.24\)
c. \(r = 5\), \(d = 10\)
d. \(r\approx15.93\), \(d\approx31.85\)