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stellarik [79]
2 years ago
13

A sector of a circle of radius 80 mi has an area of 1600 mi2. Find the central angle (in radians) of the sector.

Mathematics
1 answer:
Butoxors [25]2 years ago
3 0

Answer:

The central angle of the sector is 0.5 radian

Step-by-step explanation:

given;

radius of the circle, r = 80 mi

area of the sector, A = 1600 mi²

Area of sector is given by;

A = ¹/₂r²θ

where;

θ is the central angle (in radians) of the sector

\theta = \frac{2A}{r^2}\\\\\theta = \frac{2*1600}{80^2}\\\\  \theta = 0.5 \ radian

Therefore, the central angle of the sector is 0.5 radian

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Answer:

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Step-by-step explanation:

Let n represent the number of nickels. Since Seth has 8 more nickels than dimes, then (n-8) is the number dimes.

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Solve this equation:

5n+10n-80=235,\\ \\15n=235+80,\\ \\15n=315,\\ \\n=21.

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