What is the area of a sector with radius equal to 8 and measure of arc equal to 300Á?

3.3
13.3
53.3

Question

08-11-2016
Mathematics

contestada

What is the area of a sector with radius equal to 8 and measure of arc equal to 300Á?

3.3
13.3
53.3

Respuesta :

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Edufirst Edufirst · Answer 1 · 2016-11-12T23:21:06+01:00

Edufirst Edufirst

12-11-2016

The entire area of a circle is π(r^2) = π(8^2) = 64π

There is a proportion between the area of a sector with angle x and the area of the entire circle (which covers 360°:

area of the sector / angle of the sector = area of the circle / 360°

Then, area of the sector / 300° = 64π / 360°

area of the sector = (64π / 360°) * 300° = 53.33π cm

Then, the answer is the last option: 53.3

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What is the area of a sector with radius equal to 8 and measure of arc equal to 300Á? 3.3 13.3 53.3

Respuesta :

Otras preguntas

What is the area of a sector with radius equal to 8 and measure of arc equal to 300Á?

3.3
13.3
53.3