Find the area of the shaded region. Use 3.14 as an approximation.
1 answer:
Answer:
shaded area = 113.64 cm²
Step-by-step explanation:
To find the shaded area, subtract the area of the circle from the area of the triangle.
Area of a triangle = 1/2 x base x height
⇒ area of triangle = 1/2 x 25 x 21.4 = 267.5 cm²
Area of a circle = (where r is the radius)
From inspection, we can see that the diameter of the circle = 14 cm
Therefore, as the diameter = 2r, then r = 14 ÷ 2 = 7 cm
⇒ area of circle = 3.14 x 7² = 153.86 cm²
Shaded area = area of triangle - area of circle
⇒ shaded area = 267.5 - 153.86 = 113.64 cm²
You might be interested in
Simple interest calculates interest on initial amount only. The investment by Hannah was : Option A: $4800
<h3>How to calculate simple interest amount if rate of interest is R% annually?</h3>Suppose that the initial amount of investment is P
And the rate of simple interest is R% annually,
And the time of investment is T years.
Then, the amount of simple interest is calculated as:
For the given case, let the initial investment Hannah made was of $P
Then, the time of investment is T = 8 years, R% = 4%, and given that Hannah earned interest I = $1536
Putting values in the above formula, we get;
Thus,
The investment by Hannah was : Option A: $4800
Learn more about simple interest here: