Topic Test 10 & 11 Day 1

​Topic Test 10 & 11 Day 1

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Math Response

 What is the measure of angle EFD?

REMEMBER THE CENTRAL ANGLE= INTERCEPTED ARC AND

2(INTERCEPTED ARC)= INTERCEPTED ARC.****

NOT ON THE PACKET. COPY DOWN AND SOLVE IT.

Type answer here

Correct Answer: 57.5

Deg^°

Rad

Multiple Choice

Which graph correctly represents the equation shown?

• A

• B

• C

Multiple Choice

An architect is designing a circular deck. She plots (-4,-2) and (5,3) as the endpoints of the diameter. What point is the center of the deck on her drawing?***

NOT ON THE PACKET. COPY DOWN AND SOLVE IT.

• (0.5, 0.5)

• (0.5, -2.5)

• (-4.5, -2.5)

• (-4.5, 0.5)

Math Response

Point ( 7,7) is on a circle centered at the origin. What is the diameter of the circle?

NOT ON THE PACKET. COPY DOWN AND SOLVE IT.***

Type answer here

Correct Answer: 14\sqrt{2}

Deg^°

Rad

Multiple Choice

The endpoints of a diameter of a circle are (3,1) and (9,5). Find the equation of the circle? Hint: In this problem, we are not given the center or radius however we can find the length of the diameter using the distance formula and then divide it by 2. The center is simply the midpoint of the given points. $$d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$$   $$Use\ Midpoint\ Formula\ to\ find\ the\ center\ \ \left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)$$ #16 

• (x−6)²+(y−3)²=13

• (x−3)²+(y−6)²=13²

• (x−5)²+(y−9)²=13

• (x−9)²+(y−5)²=169/4

Drag and Drop

What is the center for the circle with this equation x²+y²+4x+6y-36=0? #14

Placeholder

Drag these tiles and drop them in the correct blank above

(-2,-3)

(-2,5)

(2,7)

Math Response

There was an earthquake in a city. It was felt up to 120 miles from its epicenter. If the epicenter can be located at the point (20,15)  on a coordinate plane, which equation would help to find the boundary of the area that is affected by the earthquake? ****

NOT ON THE PACKET. COPY DOWN AND SOLVE IT.

Type answer here

Correct Answer: \left(x-20\right)^2+\left(y-15\right)^2=14400

Deg^°

Rad

Multiple Choice

  A student was asked to graph the boundary of a signal availability region. The cell phone tower is at the origin of the coordinate plane and the signals can be received up to 64  kilometers. The equation of the boundary region is $$x^2+y^2=4096$$ . Which statement is true? ****

NOT ON THE PACKET. COPY DOWN AND SOLVE IT.

• The radius of the boundary region is 8 kilometers.

• The radius of the boundary region is 4096  kilometers.

• The domain of the signal availability region is {x l x ϵ R, -64 ≤ x ≤ 64}

• The range of the signal availability region is {y l y ϵ R, 0 ≤ x ≤ 64}

Multiple Choice

Find the estimated area of the shaded area. #7 $$Area_{ }=\frac{\theta\pi r^2}{360\degree}$$  

• 10.732 units squared

• 100.53 units squared

• 9.75 units squared

• 3,015.93 units squared

Multiple Choice

What is the value of x? #37

• 5

• 3

• 4

• 6

Multiple Choice

Find the area of the green-shaded sector. #28

***HINT: TRICK QUESTION. THE SHADED REGION IS NOT 90 DEGREES.***

• 150.8 cm²

• 50.3 cm²

• 201.1 cm²

• 40.9 cm²

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Math Response

Find the area of the regular polygon shown below. Round your answer to the nearest hundredths.

Type answer here

Correct Answer: 249.94

Deg^°

Rad

Math Response

What is the length of AC?

Type answer here

Correct Answer: 18

Deg^°

Rad

When they intersect OUTSIDE the circle

• a is the outside, (a+b) is the whole

• c is the outside, (c+d) is the whole

• outside(whole) = outside(whole)

Multiple Choice

Find the measure of GF. #44

• 3

• 6

• 4

• 5

What if a is the outside and the whole?

Multiple Choice

Find the value of x. #41

• 28.05

• 28

• 51

• 1.55