The radius of the circle is 7 cm, and the degree measure of the arc is 90. Find the area of the sector bounded by this arc.

Let’s first of all analyze the condition of the problem and decide on the solution method.

The condition says that the radius of the circle is 7 cm, and it is also known that the degree measure of the arc is 90 °. To calculate the area of the sector bounded by this arc, we use the formula:

Ssec = nR ^ 2 * angle A / 360 °.

We have enough data to calculate the value, just remember that we will take the number n up to hundredths.

So, let n = 3.14, then we get:

Ssec = 3.14 * 7 * 90 ° / 360 ° = 38.5 cm ^ 2.

Answer: 38.5 cm ^ 2.