The image above is a cone.

To compute the area of a cone, two essential parameters is needed and this parameters are the radius of the cone (r) and the slant height of the cone (h).

The formula for calculating the area of a cone:

A = πrl + πr²

Where;

**A** = Area of the Cone

r = Radius of the Cone

Let’s solve an example:

Find the area of a cone when the radius of the cone is 9 cm and the slant height of the cone is 12 cm.

This implies that;

r = Radius of the cone = 9 cm

l = Slant height of the cone = 12 cm

A = πrl + πr²

A = 3.142 x 9 x 12 + 3.142 x 9²

A = 339.336 + 254.502

A = 593.83

Therefore, the **area of the cone** is **593.83 cm².**

**Calculating the Area of a cone using Diameter and Slant height of the cone.**

A = ^{πdl} / _{2} + ^{πd2} / _{4}

Where;

d = Diameter of the Cone

l = Slant height of the Cone

Let’s solve an example:

Find the area of a cone when the diameter of the cone is 18 cm and the slant height of the cone is 22 cm?

This implies that;

d = diameter of the cone = 18 cm

l = Slant height of the cone = 22 cm

A = ^{πdl} / _{2} + ^{πd2} / _{4}

A = ^{3.142 x 18 x 22} / _{2} + ^{3.142 (18)2} / _{4}

A = ^{1244.232} / _{2} + ^{1018.008} / _{4}

A = 622.116 + 254.502

A = 876.6

Therefore, the **area of the cone** with diameter is **876.6 cm ^{2}.**

**Calculating the Slant height of a cone using Radius of the cone and Area of the cone.**

l = ^{A – πr2} / _{πr}

Where;

A = Area of the Cone

r = Radius of the Cone

Let’s solve an example:

Find the slant height of a cone when the radius of the cone is 8 cm and the area of the cone is 220 cm^{2}.

This implies that;

A = Area of the cone = 220 cm^{2}

r = Radius of the cone = 8 cm

l = ^{A – πr2} / _{πr}

l = ^{220 – 3.142 x 82} / _{3.142 x 8}

l = ^{220 – 3.142 x 64} / _{25.136}

l = ^{220 – 201.088} / _{25.136}

l = ^{18.91} / _{25.136}

l = 0.75

Therefore, the **slant height of the cone** with radius is **0.75 cm.**

**Calculating the Slant height of a cone using Diameter of the cone and Area of the cone.**

l = ^{4A – πd2} / _{2πd}

Where;

A = Area of the Cone

d = Diameter of the Cone

Let’s solve an example:

Find the slant height of a cone when the diameter of the cone is 16 cm and the area of the cone is 240 cm^{2}.

This implies that;

A = Area of the cone = 240 cm^{2}

d = Diameter of the cone = 16 cm

l = ^{4A – πd2} / _{2πd}

l = ^{4 x 240 – 3.142 x (16)2} / _{2 x 3.142 x 16}

l = ^{960 – 3.142 x 256} / _{100.5}

l = ^{960 – 804.35}/ _{100.5}

l = ^{155.65} / _{100.5}

l = 1.548

Therefore, the **slant height of the cone with diameter** is **1.548 cm.**

Nickzom Calculator – **The Calculator Encyclopedia** is capable of calculating the area of a cone.

To get the answer and workings of the area of a cone using the **Nickzom Calculator – The Calculator Encyclopedia. **First, you need to obtain the app.

You can get this app via any of these means:

**Web** – https://www.nickzom.org/calculator-plus

To get access to the **professional **version via web, you need to **register** and **subscribe **for** NGN 1,500 **per** annum** to have utter access to all functionalities.

You can also try the **demo **version via https://www.nickzom.org/calculator

**Android (Paid)** – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator

**Android (Free)** – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator

**Apple (Paid)** – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8

Once, you have obtained the calculator encyclopedia app, proceed to the **Calculator Map, **then click on **Mensuration**** **under the **Mathematics** section

Now, click on** Area of a Cone** under **Mensuration**

The screenshot below displays the page or activity to enter your values, to get the answer for the area of a cone according to the respective parameters which are the radius of the cone (r) and slant height of the cone (l)

Now, enter the value appropriately and accordingly for the parameters as required by the **example** above where the **radius of the cone** is **9 cm** and **slant height of the cone** is **12 cm.**

Finally, click on **Calculate**

As you can see from the screenshot above, **Nickzom Calculator** – The Calculator Encyclopedia solves for the area of a cone and presents the formula, workings and steps too.