The remaining coloured sectors each have an angle at the centre of 80°. Work out the the total area of the coloured design, to the nearest square centimetre.Area of the design = cm2 (to nearest sq cm)
Question
The remaining coloured sectors each have an angle at the centre of 80°. Work out the the total area of the coloured design, to the nearest square centimetre.Area of the design = cm2 (to nearest sq cm)
Solution
To answer this question, we need more information. Specifically, we need to know the radius of the circle and the number of colored sectors. However, I can tell you how to calculate it once you have this information.
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First, calculate the area of the whole circle using the formula: Area = πr² (where r is the radius of the circle).
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Then, determine the proportion of the circle that each colored sector represents. Since a full circle is 360°, each sector represents 80/360 = 2/9 of the circle.
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Multiply the total area of the circle by this fraction to get the area of one colored sector.
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Finally, multiply the area of one sector by the number of colored sectors to get the total area of the colored design.
Remember to round your final answer to the nearest square centimeter.
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