Question

What is the difference between the central angles for sector B and sector C


1.36°
2.90°
3.45°
4.81°

Answer 1

Answer:

36

Step-by-step explanation:

30% of 360 (area of circle )

=30×360/100

=108

40% of 360

=40×360/100

=144

difference = 144 - 108

= 36

Answer 2

Given:

To find the difference between the central angles for sector B and sector C

Solution:

Know that the measure of complete angle formed at the center is $\[360^\circ \]$.

Therefore,

$\[100\% = 360^\circ \]$

Find difference between the central angles for sector B and sector C,

$\[\begin{array}{l} = 40\% - 30\% \\ = 10\% \end{array}\]$

Find the value of 10% using unitary method,

$\[\begin{array}{l}100\% \Rightarrow 360^\circ \\1\% \Rightarrow 3.6^\circ \\10\% = 36^\circ \end{array}\]$

Hence, the difference between the central angles for sector B and sector C is $\[36^\circ \]$.