  ### Home > APCALC > Chapter 2 > Lesson 2.2.4 > Problem2-95

2-95.

Inscribed rectangles are below a curve. Circumscribed rectangles are above a curve. For the function $y = \sqrt { 4 - x ^ { 2 } }$, complete the following problems.

1. Calculate the area under the curve from $−2 ≤ x ≤ 2$ using four inscribed rectangles.

Some of the rectangles will be left-endpoint and others will be right-endpoint.

Inscribed means that only one point of the inscribed shape is touching the function. The rest of the points lie within the function.

2. Calculate the area under the curve from $−2 ≤ x ≤ 2$ using four circumscribed rectangles.

Circumscribed means the shape you are drawing must entirely contain the function. The function is inside the shape.

3. Estimate the actual area under the curve using your answers to parts (a) and (b).

What shape is this? Use geometry.

Use the eTool below to view the graph of the shapes.
Click the link to the right to view the full version of the eTool: Calc 2-95 HW eTool