Question-85950

Question Number 85950 by TawaTawa1 last updated on 26/Mar/20

Commented by TawaTawa1 last updated on 26/Mar/20

Which colour area is bigger .

please show workings .

Answered by jagoll last updated on 26/Mar/20

Commented by jagoll last updated on 26/Mar/20

blue area = 2 \times (\frac{1}{4} π R^{2} - \frac{1}{2} R^{2})

= R^{2} (\frac{1}{2} π - 1) = \frac{1}{2} R^{2} (π - 2)

Commented by jagoll last updated on 26/Mar/20

black area = \frac{1}{4} π {(2 R)}^{2} - (\frac{1}{2} π R^{2} + R^{2})

= π R^{2} - \frac{1}{2} π R^{2} - R^{2}

= \frac{1}{2} π R^{2} - R^{2} = \frac{1}{2} R^{2} (π - 2)

Commented by TawaTawa1 last updated on 26/Mar/20

God bless you sir .

I appreciate your time .

Commented by jagoll last updated on 26/Mar/20

blue area = black area .

Commented by TawaTawa1 last updated on 26/Mar/20

Sir, please explain the blue area why it is 2 \times (\frac{1}{4} π R^{2} - \frac{1}{2} R^{2})

Commented by TawaTawa1 last updated on 26/Mar/20

Also black area same thing .

Commented by jagoll last updated on 26/Mar/20

the blue area is twice the width

of the circle

Commented by jagoll last updated on 26/Mar/20

Commented by jagoll last updated on 26/Mar/20

look at picture

Commented by TawaTawa1 last updated on 26/Mar/20

Alright sir, what of \frac{1}{4} π R^{2} . and \frac{1}{2} π R^{2}

Sorry for two many question sir

Commented by jagoll last updated on 26/Mar/20

in blue are, the area of one tile

is a quarter of the area of a circle

minus the area of a triangle

Commented by TawaTawa1 last updated on 26/Mar/20

God bless you sir . I appreciate .

Commented by jagoll last updated on 26/Mar/20

thank you

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