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Answers ( )
Answer:
The measure of the central angle whose radii define the arc is![Rendered by QuickLaTeX.com \mathbf{\frac{4\pi }{5} }](https://documen.tv/wp-content/ql-cache/quicklatex.com-1e7aa9e290654ae5057d87bccc8130b8_l3.png)
Step-by-step explanation:
Radius of circle = 10 cm
Length of arc =![Rendered by QuickLaTeX.com 8\pi](https://documen.tv/wp-content/ql-cache/quicklatex.com-b970c5ed201637c60281db3ee33041d6_l3.png)
We need to find Theta![Rendered by QuickLaTeX.com \theta](https://documen.tv/wp-content/ql-cache/quicklatex.com-356a08e839ab6974a16448e16e56745d_l3.png)
The formula used will be:![Rendered by QuickLaTeX.com S=r \theta](https://documen.tv/wp-content/ql-cache/quicklatex.com-2cdbee3332af97e10f664005366ee02f_l3.png)
S= length of arc, r = radius and
= angle
Putting values and finding \theta
So, the measure of the central angle whose radii define the arc is![Rendered by QuickLaTeX.com \mathbf{\frac{4\pi }{5} }](https://documen.tv/wp-content/ql-cache/quicklatex.com-1e7aa9e290654ae5057d87bccc8130b8_l3.png)