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Circle A has been dissected into 16 congruent sectors. The base of one sector is 1.95 units, and its height is 4.9 units. What is the approximate area of circle A?

circle A is dissected into 16 congruent sectors, one sector is highlighted
27.52 units2
48.92 units2
75.39 units2
76.44 units2

Respuesta :

calculista

Answer:

[tex]A=76.44\ units^{2}[/tex]

Step-by-step explanation:

To find the approximate area of the circle, calculate the area of one sector and then multiply by 16

Remember that

The area of a triangle (one sector) is equal to

[tex]A=\frac{1}{2}(b)(h)[/tex]

therefore

The approximate area of the circle is equal to

[tex]A=(16)\frac{1}{2}(1.95)(4.9)[/tex]

[tex]A=76.44\ units^{2}[/tex]

lublana

Answer:

D.76.44 square units

Step-by-step explanation:

We are given that

Base of one sector=b=1.95 units

Height of sector=h=4.9 units

Total number of sectors=16

Area of one sector is equal to area of triangle (approximately)

Area of sector=[tex]\frac{1}{2}bh[/tex]

Using the formula

Area of one sector=[tex]\frac{1}{2}(1.95)(4.9)=4.7775[/tex] square units

Area of circle A=[tex]16\times [/tex]area of sector

Area of circle A=[tex]16\times 4.7775=76.44[/tex] square units

Hence,option D is true.

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