Thomas is making a sign in the shape of a regular hexagon with 4-inch sides, which he will cut out from a rectangular sheet of metal. What is the sum of the areas of the four triangles that will be removed from the rectangle?

# The figure above is a closed semicircle with radius 2. What is the perimeter of the figure?

A semicircle is exactly half a circle, so take the formula for circumference (C = 2πr) and divide by 2. Since r = 2, you end up with (2π(2))/2 = 2π. That covers the curved part. You know the straight part has a length of 4 because the radius of the semicircle is 2. 4 + 2π is (more…)

# What is the area of a circle that is inscribed in a square of area 2

First, a circle inscribed in a square looks like this: If that square has an area of 2, that means each of its sides has a length of √2. And THAT means that the radius of the circle is √2/2. The area of a circle is πr^2. Plug √2/2 in for r and you’ve got your (more…)

# Can you please do #20 from the no calculator section in test 5?

Can you please do #20 from the no calculator section in test 5?

# An 84 meter length of fencing is attached to the side of a barn in order to fence in a rectangular area…

An 84 meter length of fencing is attached to the side of a barn in order to fence in a rectangular area, as shown in the figure above. If the length of the side of the fence running perpendicular to the barn is half the length of the side of the fence that is running parallel to the barn, what is the area of the fenced off land?

# Can you please explain College Board Test 5 Section 4 #36?

Can you please explain College Board Test 5 Section 4 #36?

I understand that angle A is half of x- the only part of the college board explanation I’m not understanding is why we do (360-x) while setting up the equation. Thanks!

# In the picture, Lines L1 and L2 are parallel, Lines L3 and L4 are parallel…

In the picture, Lines L1 and L2 are parallel, Lines L3 and L4 are parallel, L1 and L3 intersect on the circle, and L2 passes through the center of the circle. The angle theta equals pi/3, and radius R = 6. Find the area of the region A, which lies outside the circle and is bounded within the three line segments. Round your answer to the nearest hundredth. The answer is 29.72. Help!!

# Test 3 Section 3 #20

Test 3 Section 3 #20

# Test 3 Section 3 #18

Test 3 Section 3 #18

# Test 2 Section 4 #36

Test 2 Section 4 #36

# Test 1 Sec4 #24 help!

Test 1 Sec4 #24 help!

# If Paul is using a piece of fencing 80 meters long to build a rectangular enclosure for his dog, what is the greatest possible area that can be enclosed?

If Paul is using a piece of fencing 80 meters long to build a rectangular enclosure for his dog, what is the greatest possible area that can be enclosed?

# In the figure above, point R lies on segment OP. The area of the circle with center O is 4(pi), and the area of the circle with center P is 100(pi). What is the length of segment RP?

In the figure above, point R lies on segment OP. The area of the circle with center O is 4(pi), and the area of the circle with center P is 100(pi). What is the length of segment RP?

# Points A and B lie in the same plane. How many isosceles right triangles in the plane have A and B as vertices?

Points A and B lie in the same plane. How many isosceles right triangles in the plane have A and B as vertices?

A) Three

B) Four

C) Five

D) Six

E) Infinitely many

# A cube with edge of length 4 is divided into 8 identical cubes. How much greater is the combined surface area…

A cube with edge of length 4 is divided into 8 identical cubes. How much greater is the combined surface area of the 8 smaller cubes than the surface area of the original cube?

A) 48

B) 56

C) 96

D) 288

E) 384