Understanding Circle Area and Radius

The video tutorial explains how to find the radius of a circle given its area. It starts by introducing the formula for the area of a circle, A = πr², and then demonstrates how to solve for the radius when the area is known. The process involves isolating r², dividing by π, and taking the square root to find r. The tutorial also covers using a calculator for a decimal approximation and rounding the result to the nearest tenth. Finally, it verifies the calculation by checking if the rounded radius gives an area close to the original value.

What is the formula for the area of a circle?

• a = 2πr²

• a = πd

• a = πr²

• a = 2πr

If the area of a circle is 28.26 square units, what equation can be set up to find the radius?

• πr² = 28.26

• 2πr² = 28.26

• r² = 28.26

• πr = 28.26

What is the first step to isolate r squared in the equation πr² = 28.26?

• Multiply both sides by π

• Subtract π from both sides

• Divide both sides by π

• Add π to both sides

After isolating r squared, what operation is needed to solve for r?

• Multiply both sides by 2

• Take the square root of both sides

• Divide both sides by 2

• Square both sides

When rounding to the nearest tenth, what should you do if the hundredths place is 9?

• Ignore the hundredths place

• Round up

• Round down

• Keep the number as is

What is the approximate radius of a circle with an area of 28.26 square units?

• 2.8 units

• 3.5 units

• 3.0 units

• 3.2 units

Why is it important to include the point zero when rounding to one decimal place?

• To avoid errors

• To make the number larger

• To make calculations easier

• To show precision

How can you verify the radius found is correct?

• By checking if the area is exactly 28.26

• By recalculating the area using the radius

• By using a different formula

• By measuring the circle

What is the recalculated area using the radius 3.0?

• Exactly 30.0

• More than 28.26

• Exactly 28.26

• Less than 28.26

Why is the recalculated area slightly more than 28.26?

• Because the radius was rounded up

• Because the formula was incorrect

• Because of a calculation error

• Because the area was measured incorrectly