# Area of a Triangle side (a) 7 in , side (b) 3 m and with angle (γ) = 0.5 radians Calculator

## Area of Triangle 7 inches by 3 meters is 84.9374255 meters^{2} or 0.2983465 inches^{2}.

The area of a triangle is defined as the total space that is enclosed by any particular triangle. The basic formula to find the area of a given triangle is A = **1/2x a × b x sin(γ)**, where a, b are the sides and sin(γ) is angle of the given triangle. Area of Triangle 7 inches by 3 meters is 84.9374255 meters^{2} or 0.2983465 inches^{2}.

## Area of a Triangle side (a) 7 in , side (b) 3 m and with angle (γ) = 0.5 radians in other units

Value | unit |
---|---|

0.0021574 | km^{2} |

0.0013406 | mi^{2} |

2.1574106 | m^{2} |

7.0781188 | ft^{2} |

84.9374255 | in^{2} |

2.3593729 | yd^{2} |

215.7410608 | cm^{2} |

2157.4106077 | mm^{2} |

Steps:

Given that Side (a) = 7 in , Side (b) = 3 m and with Angle(γ) = 0.5 radians

We know that, **Area = 1/2 * a * b * sin(γ) **

Substitute the values of the side (a) = 7 in , the side (b) = 3 m , and the with angle (γ) = 0.5 radians into the formula

## Unit Conversion of Width 3 m = 118.11 in

## 3 meter is 118.11 inches

To convert Meters to Inches

we know that, **1 Meter = 39.37 Inch**

To convert meter to Inch,multiply the meter value by 39.37.

Result in Inches: 3 m × 39.37 × in/m

Cancel The Comman factor of m

Result in Inches: (3 * 39.37 in)

Multiply 118.11 into 39.37

**∴ 3 meter = 118.11 inches **

A = 1/2 * 118.11 * 3 * sin(0.5)

Simplify each term

A = 84.9374255 in²

∴ Area of a Triangle side (a) 7 in , side (b) 3 m and with angle (γ) = 0.5 radians is 84.9374255 in²

or

## Unit Conversion of Length 7 in = 0.1778 m

## 7 inches is 0.1778 meters

To convert inches to meter

we know that, **1 inch = 0.0254 meters**

To convert inches to meter,multiply the inches value by 0.0254.

Result in Inches: 7 in x 0.0254 × m/in

Cancel The Comman factor of m

Result in Meters: (7 x 0.0254 m)

Multiply 7 into 0.0254

Result in meters: 0.1778 meters

** ∴ 7 inches = 0.1778 meters **

A = 1/2 * 7 * 0.1778 * sin(0.5)

Simplify each term

A = 0.2983465 m²

∴ Area of a Triangle side (a) 7 in , side (b) 3 m and with angle (γ) = 0.5 radians is 0.2983465 m²