Answer:
≈ 77 cm²
Step-by-step explanation:
The area of the shaded portion is calculated as
area of outer sector - area of inner sector
= (πR² - π r²) ×
( R is the outer radius, r is the inner radius )
= (π × 14² - π × 7² ) × 
= (196π - 49π ) ÷ 6
= 147π ÷ 6
≈ 77 cm² ( nearest whole number )
Answer:

Step-by-step explanation:
Given

Perpendicular to 
Required
Determine the line equation
An equation has the form

Where

By comparison with 

Because the line is perpendicular to
, the following relationship exists
i.e. the condition for perpendicularity
Where m1 is the slope of the equation that passes through 
So, we have:


The line equation is then calculated using:

Where


So, we have:


Add 11 to both sides



<em>The B, C and D parts of your question are not clear.</em>
<em>Apply the same steps used in (a) above and you'll get your answers</em>
Visualize the distance traveled as the two side lengths of a right triangle, for this we can use the pythagorean theorem to solve for the hypotenuse (which is the shortest distance from his house to his office).
a²+b²=c²
6²+4²=c²
36+16=c²
52=c²
7.21=c
Answer=7.21km