A circle has been dissected into 16 congruent sectors. The base of one sector is 1. 17 units, and its height is 2. 94 units. Using the area of a triangle formula, what is the approximate area of the circle? circle A is dissected into 16 congruent sectors, one sector is highlighted 27. 14 units2 27. 52 units2 48. 92 units2 76. 44 units2.

Respuesta :

The area of a shape is the amount of space on the shape

The approximate area of the circle is 27.52 square units

How to determine the area of the circle

The given parameters are:

Sectors = 16

Base = 1.17 units

Height = 2.94 units

The area of the triangle is:

[tex]A_1 = 0.5 * Base * Height[/tex]

So, we have:

[tex]A_1 = 0.5 * 1.17 * 2.94[/tex]

[tex]A_1 = 1.7199[/tex]

The approximate area of the circle is then calculated as:

[tex]A_2 = 16 * A_1[/tex]

This gives

[tex]A_2 = 16 * 1.7199[/tex]

[tex]A_2 = 27.52[/tex]

Hence, the approximate area of the circle is 27.52 square units

Read more about areas at:

https://brainly.com/question/24487155

Answer:

27.52

Step-by-step explanation:

A = 1/2 bh

fill in the given information

A = 1/2 (1.17)(2.94)

multiply 1.17 and 2.94

A = 1/2 (3.4398)

Mutiply 3.4389 by 1/2 or divide 3.4398 by 2 (it is the same thing)

A = 1.7199

Now you have the area of one of the triangles, so you have to find the area of the whole circle or 16 triangles.

A = 1.7199 (16)

Mutpily

A = 27.5185

round to the nearest hunderth

A = 27.52

:)

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