john painted the face of a circular clock of radius 21cm, which is divided into four parts, using four different colours, find the area of each equal coloured part. [use π = 22/7]

Given that the circular clock is divided into four equal parts, we can find the area of each part by finding a quarter of the area of a circle with a radius of 21 cm.

The formula for the area of circle with radius r is A = πr². Therefore, the formula for the area of a quarter of a circle is:

[tex]\textsf{Area of a quarter of a circle}=\dfrac{\pi r^2}{4}[/tex]

Substitute r = 21 and π = 22/7 into the equation:

[tex]A=\dfrac{\frac{22}{7} \cdot 21^2}{4}[/tex]

Solve:

[tex]A=\dfrac{\frac{22}{7} \cdot 441}{4}[/tex]

[tex]A=\dfrac{\frac{9702}{7}}{4}[/tex]

[tex]A=\dfrac{1386}{4}[/tex]

[tex]A=346.5\; \sf cm^2[/tex]

Therefore, the area of each coloured part of the circular clock is:

[tex]\huge\boxed{\boxed{346.5\; \sf cm^2}}[/tex]

john painted the face of a circular clock of radius 21cm, which is divided into four parts, using four different colours, find the area of each equal coloured part. [use π = 22/7]​

Respuesta :

Answer: 346.5 square cm (approximate)

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john painted the face of a circular clock of radius 21cm, which is divided into four parts, using four different colours, find the area of each equal coloured part. [use π = 22/7]