2 Answers

TheSmurf · Answer 1 · 2021-08-23T13:05:20+0000

Answer:

The area of the sector is
$12.8\pi\ units^2$

Explanation:

we know that

The area of a complete circle (16π units^2) subtends a central angle of 2π radians

so

using proportion

Find out the area of a sector , if the central angle is equal to 8π/5 radians

$(16\pi)/(2\pi)=(x)/((8\pi/5))\\\\x=8(8\pi/5)\\\\x= 12.8\pi\ units^2$

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