Kylie drew a circle with a diameter of 8 cm. Paige drew a circle with a radius of 3 cm. Approximately how much larger is the are
2 answers:
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<h2>Answer:</h2>We'll start by calculating the areas of Kylie and Paige's circles.
Kylie's Circle:
A = πr²
Since we need the radius for the formula, we must divide the diameter in half to get it.
r = d ÷ 2
r = 8 ÷ 2
r = 4
Now, let's substitute our values into the formula.
A = 3.14 × 4²
A = 3.14 × 16
A = 50.24 cm²
Paige's Circle:
A = πr²
A = 3.14 × 3²
A = 3.14 × 9
A = 28.26 cm²
We can round both of these areas to the nearest whole number. Then, we must subtract Paige's circle area by Kylie's.
50 - 28 = 22
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Image of the triangle is attached
Answer:
24 cm
Step-by-step explanation:
If two triangles are similar, the corresponding sides must be in the same ratio.
From the diagram, the height of the triangle is 36cm.
But the height of triangle ABE = h,
To find the height of triangle BCD, let's subtract the height of triangle ABE from 36cm.
Therefore.
Height of BCD = 36 - h.
Since the triangles are similar and their corresponding sides have the same ratio, we have the expression:
Substituting figures, we have:
Cross multiplying, we have:
20(36-h) = 10 * h
720 - 20h = 10h
720 = 10h + 20h
720 = 30h
h = 24 cm
Therefore, the height of triangle ABE is 24cm
