The image above is a spherical segment.

To compute the surface area of a spherical segment requires two essential parameters which are the radius of the sphere (R) and the height (h).

The formula for calculating the surface area of the spherical segment:

A = 2πRh

Where;

A = Surface area of the spherical segment

R = Radius of the sphere

h = Height of the spherical segment

Let’s solve an example;

Find the surface area of a spherical segment when the radius of the sphere is 12 cm and the height is 16 cm.

This implies that;

R = Radius of the sphere = 12 cm

h = Height of the spherical segment = 16 cm

A = 2πRh

A = 2π (12 x 16)

A = 2π (192)

A = 6.28 (192)

A = 1206.37

Therefore, the **surface area of the spherical segment** is **1206.37 cm ^{2}.**

**Calculating the Radius of the Sphere using the Surface Area of the Spherical Segment and the Height.**

R = ^{A} / _{2πh}

Where;

R = Radius of the sphere

A = Surface area of the spherical segment

h = Height of the spherical segment

Let’s solve an example;

Find the radius of a sphere with a surface area of 300 cm^{2} and a height of 12 cm.

This implies that;

A = Surface area of the spherical segment = 300 cm^{2}

h = Height of the spherical segment = 12 cm

R = ^{A} / _{2πh}

R = ^{300} / _{2 x π x 12}

R = ^{300} / _{75.41}

R = 3.978

Therefore, the** radius of the sphere** is **3.978 cm.**

**Calculating the Height of the Spherical segment using the Surface Area of the Spherical Segment and the Radius of the sphere.**

h = ^{A} / _{2πR}

Where;

R = Radius of the sphere

A = Surface area of the spherical segment

h = Height of the spherical segment

Let’s solve an example;

Find the height of a spherical segment with a surface area of 420 cm^{2} and a radius of 16 cm.

This implies that;

A = Surface area of the spherical segment = 300 cm^{2}

R = Radius of the sphere = 16 cm

h = ^{A} / _{2πR}

h = ^{420} / _{2 x π x 16}

h = ^{420} / _{100.544}

h = 4.18

Therefore, the **height of the spherical segment** is **4.18 cm.**

Nickzom Calculator – **The Calculator Encyclopedia** is capable of calculating the surface area of the spherical segment.

To get the answer and workings of the surface area of the spherical segment 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 **Surface Area of the spherical segment** under **Mensuration**

The screenshot below displays the page or activity to enter your values, to get the answer for the surface area of the spherical segment according to the respective parameters which are the radius of the sphere (R) and height (h).

Now, enter the values appropriately and accordingly for the parameters as required by the **example** above where the** radius of the sphere **is **12 cm **and** the height **is **16 cm.**

Finally, Click on Calculate

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