Answer:
C and D
Step-by-step explanation:
1
The arc length is calculated as
arc = circumference of circle × fraction of circle
= 2πr × [tex]\frac{60}{360}[/tex]
= 2π × 10 × [tex]\frac{1}{6}[/tex] = [tex]\frac{20\pi }{6}[/tex] = [tex]\frac{10\pi }{3}[/tex] cm → C
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2
The area (A) of a sector is calculated as
A = area of circle × fraction of circle
= πr² × [tex]\frac{60}{360}[/tex]
= π × 10² × [tex]\frac{1}{6}[/tex] = [tex]\frac{100\pi }{6}[/tex] = [tex]\frac{50\pi }{3}[/tex] cm² → D
