Question

1. a triangle has a base of 6 miles and a height of 2 miles. sketch the triangle and find its area. 8. a circle has a radius of 25 inches. sketch the circle and find its area. round your answer to the nearest tenth.

Explanation:

Problem 7:

Step1: Recall triangle area formula

The formula for the area of a triangle is $A = \frac{1}{2} \times base \times height$.

Step2: Substitute values

Given base $b = 6$ miles and height $h = 2$ miles. Substitute into the formula: $A=\frac{1}{2}\times6\times2$.

Step3: Calculate

First, $\frac{1}{2}\times6 = 3$, then $3\times2 = 6$.

Step1: Recall circle area formula

The formula for the area of a circle is $A=\pi r^{2}$, where $r$ is the radius.

Step2: Substitute radius value

Given $r = 25$ inches. Substitute into the formula: $A=\pi\times(25)^{2}$.

Step3: Calculate

First, $(25)^{2}=625$, then $A = \pi\times625\approx3.14159\times625 = 1963.4954\approx1963.5$ (rounded to the nearest tenth).

Answer:

The area of the triangle is 6 square miles.

Problem 8: