Excel is the most widely used tool when it comes to dealing with huge datasets. We can perform myriads of tasks of multiple dimensions in Excel. Sometimes, we need to calculate the peak area in Excel. In this article, I will show 2 effective methods to do so.

## How to Calculate Peak Area in Excel: 2 Effective Methods

This is the dataset that I am going to work with. The dataset is a graphical representation of the equation **y=sinx** ranging from **0 to pi**. The graph clearly has a peak at **sin (pi/2)** where the corresponding **y value** is **1**. We will calculate the area of this graph now.

### 1. Use Trapezoidal Rule to Calculate Peak Area in Excel

In this section, I will show how to use the trapezoidal rule to calculate peak area in Excel. In this method, __we will divide the curve into some smaller trapezoids__. Then we will calculate the **area** for those trapezoids **individually** and then **add** those small areas to get the final area.

Notice that the small segments are like trapezoids. ** The smaller the segments are, the more they resemble to a trapezoid**. After that we will calculate the areas of these small trapezoids.

**Steps:**

- Go to
**D5**and write the following formula

`=(C5+C4)/2*(B5-B4)`

**Explanation:**

**C4 and C5**represent the lengths of the parallel lines here. These are along y-axis in the graph.- (
**B5-B4**) represents the distance between the parallel lines. They are along x-axis in the graph.

- Now press
**ENTER**.**Excel**will calculate the area for a trapezoid.

- Now use Fill Handle to AutoFill up to
**D16**.**Excel**will calculate the areas.

- After that, we will add the areas using
**the SUM function**. Go to**D18**and write the following formula

`=SUM(D5:D16)`

- After that, press
**ENTER**. Excel will calculate the final area.

**Note:** The result is not exactly **2** as it should be. Thatâ€™s because we __assumed__ the segments as trapezoids. But actually, __they are not perfect trapezoids__. Thatâ€™s why the discrepancy results. Had the segments been smaller, they would have resembled trapezoid more and we would have got the result closer to **2**.

### 2. Apply Definite Integral Rule to Calculate Peak Area in Excel

Now, I will use the method of applying the definite integral rule to calculate the area.

**Steps:**

- First of all, we have to determine the integral form of
**sinx**. The integration of**sinx**is –**cosx**. We will ignore the constant value since our final target is to determine the definite integration of**sinx**ranging from**0 to pi**.

- The range is from
**0**to**pi**. So we will calculate**-cos(0)**and**-cos(pi)**. The corresponding values are**-1**and**1**.

- Our upper limit is
**pi**and the lower limit is**0**. So we will subtract**-cos(0)**from**-cos(pi)**. Go to**F9**and write down the formula

`=F8-F7`

- Now press
**ENTER**.**Excel**will calculate the area under the peak.

## Things to Remember

- The equation for the area of a trapezoid is
**A = (a+b)/2 * h**.

Where, **a** and **b** are the **length of two parallel sides**

**h** is the **distance between the parallel sides**.

- The integration of
**sinx**is**-cosx** - The value for
**cos(0)**and**cos(pi)**can also be calculated using**the COS function**. Note that the**angles**are in**radian**.

**Download Practice Workbook**

Download this workbook to practice while going through this article.

## Conclusion

In this article, I have demonstrated 2 effective methods for how to calculate peak area in Excel. I hope it helps everyone. And lastly, if you have any kind of suggestions, ideas, or feedback please feel free to comment down below.

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