A trapezium of parellel sides 10cm and 21cm and height 8cm is inscribed in a circle of radius 7cm. calculate the area of the region not covered by the trapezium.
π =\(\frac{22}{7}\)
84cm\(^2\)
80cm\(^2\)
30cm\(^2\)
94cm\(^2\)
Explanation
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the answer is incorrect, here is my reason and the correct answer that Myschool have to correct as soon as possible
reason=you are to find the AREA not LENGTH and the working Myschool provide is base on length
Step by step that explain everything in a simple way.
STEP 1: Understanding the problem
We have:A circle with radius = 7 cm.
A trapezium (a shape with two parallel sides) is drawn inside the circle, meaning it fits perfectly inside the circle.
The trapezium has:One parallel side = 10 cm
The other parallel side = 21 cm
The height (distance between the parallel sides) = 8 cm
We are to find the AREA (NOT LENGHT) of the circle that is not covered by the trapezium.
In simple words:First, find the area of the circle.
Then, find the area of the trapezium.
Subtract trapezium's area from circle's area.
STEP 2: Area of the circle
The formula for the area of a circle is:Area=π×r2
Where r≈7 the radius, and 𝜋≈3.14(22 divided by 7)
Area of circle=3.14×(7)2
=3.14×49=153.86cm2
STEP 3: Area of the trapezium is
Area=1/2×(a+b)×h
Where:a=10cm (one parallel side)
b=21cm (other parallel side)
h=8cm (height)
Area of trapezium=1/2×(10+21)×8=1/2×31×8=124cm2
STEP 4: Area not covered by the trapezium
Uncovered area=Area of circle − Area of trapezium
Uncovered area=153.86−124=29.86cm2
Final Answer:29.86cm2
That’s the AREA not covered by the trapezium inside the circle.
In my solution the answer is C . How come is B in your own. You interchanged the options but your answer is correct.
