ProjectIn

Mathematics 10

Submitted to:

Mrs. Concepcion Pablico

Submitted by:

Edel Cris Jun C. Sotelo10-Rizal

Answer the following questions:

2. What kind of parallelogram can be inscribed in a circle? Explain.

3. The chairs of a movie house are arranged consecutively like an arc of a circle. Joanna, Clarissa and Juliana entered the movie house but seated away from each other as shown below.

Let E and G be the ends of the screen and F be one of the seats. The angle formed by E, F and G or LEFG is called the viewing angle of the person seated at F. Suppose the viewing angle of Clarissa in the above figure measures 38⁰. What are the measures of the viewing angles of Joanna and Juliana? Explain your answer.

4. A carpenter’s square is an L-shaped tool used to draw right angles. Mang Ador would like to make a copy of a circular plate using the

1. There are circular gardens having paths in the shape of an inscribed regular star like the one shown on the right.a. Determine the measure of an arc

intercepted by an inscribed angle formed by the star in the garden.

b. What is the measure of an inscribed angle in a garden with a five pointed star? Explain

Joanna Juliana

Clarissa

available wood that he has. Suppose he traces the plate on a piece of wood. How could he use a carpenter’s square to find the center of the circle?

Answers:

ANSWERS:

1.

5. Ramon made a circular cutting board by sticking eight 1- by 2- by 10- inch boards together, as shown on the right. Then, he drew and cut a circle with an 8-inch diameter from the boards.

a. In the figure, if PQ is a diameter of the circular cutting board, what kind of triangle is PQR?

b. How is RS related to PS and QS? Justify your answer.

c. Find PS, QS and RS.

d. What is the length of the seam of the cutting board that is labeled RT? How about MN?

M

N

SQ

R

P

T

3. 38⁰ is the viewing angle of Joanna and Juliana because it is equal to the viewing angle of Clarissa.

4. Measure first the diameter of the circle using the L-Shaped tool, then divide it by tw0 (2) 0r ½ to get its radius then place then L-Shaped tool, putting one end at the center then rotate the tool with the measure of its radius to make a circle.

5. a. Acute Triangle- All angles are Acute

Scalene Triangle- All sides are not equal

b. RS is a segment intersects PQ perpendicularly at points

c. PS= 6 inches

QS= 2 inches

RS= 2√3

d. RT= 4√3

MN= 4√3

RT=MN

RS=

=√6.2

=√12

=√4.3

=2√3