Question

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?

a) 27.52 units^2
b) 48.92 units^2
c) 78.39 units^2
d) 76.44 units^2

Answer 1

76.44 took test

Explanation:

Answer 2

Option d) 76.44 units^2

Explanation:

The approximate area of the circle is equal to the area of one sector, multiplied by 16

The area of one sector is approximate the area of one triangle

`A=(1)/(2)(b)(h)`

we have

`b=1.95\ units`

`h=4.9\ units`

substitute

`A=(1)/(2)(1.95)(4.9)=4.7775\ units^(2)`

Multiplied the area of one sector by 16

`4.7775*16=76.44\ units^(2)`