Question

2. i) If the radius of a circle is doubled, what will happen to the area of the new circle so formed?
ii) The given circular figure is divided into six equal parts. Can we call the equal parts as
sectors? Why?​

Answer 1

Step-by-step explanation:

R.E.F image

Circle is divided is to six sectors.

considers △AOB, It is an equilateral △

⇒AB=aunits.

∥ly,BC=CD=DE=EF=AF=a

An equilateral △ is formed each sector

outside the circle.

∴ Area of resultant fig =6×Areaofequ.s

=6×

4

3

a

2

=3

3

a

2

sq.units

Answer 2

Answer:

$if \: the \: radius \: of \: the \: is \: doubled \: \\ the \: area \: will \: be \: four \: times \: f \: the \: first \: circle \: for \: example \: take \: radius \: of \: the \: circle \: is \: 7 \\ and \: the \: radius \: of \: new \: circle \: is \: double \: so \: it \: is \: 14 \: now \: \: \\ \\ \\ \\ area \: of \: smaller \: circle \: = \pi {r}^{2} \\ \frac{22}{7} \times 7 \times 7 \\ = 22 \times 7 \\ = 154units \\ \\ area \: f \: double \: radius \: circle \: = \pi {r}^{2} \\ = \frac{22}{7} \times 14 \times 14 \\ = 22 \times 14 \times 2 \\ = 616 \\ this \: four-time \: more \: than \: the \: first$

Step-by-step explanation:

$ii \: \: \: \: \: \: \: yes \: we \: call \: them \: sectors$

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