Thank you for visiting If two concentric circles have radii of 4 cm and 5 cm how much longer in cm is the intercepted arc in the larger circle. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Answer:
[tex]\dfrac{\pi}{2} cm[/tex]
Step-by-step explanation:
Given two concentric circles where:
- Radius of the Larger Circle =5
- Radius of the smaller circle=4
Length of the intercepted arc for a central angle of [tex]\dfrac{\pi}{2} =\dfrac{\frac{\pi}{2} }{2\pi} X2\pi r=\dfrac{\pi r}{2}[/tex]
For the larger circle of radius 5cm, Length of the intercepted arc[tex]=\dfrac{5\pi}{2}[/tex]
For the smaller circle of radius 4cm, Length of the intercepted arc[tex]=\dfrac{4\pi}{2}[/tex]
Difference in Arc length
[tex]=\dfrac{5\pi}{2}-\dfrac{4\pi}{2}\\=\dfrac{\pi}{2} cm[/tex]
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