Find the first semicircle area
Area semicircle can be determined by dividing the full area of circle by 2.
The first semicircle radius is 5 cm
semicircle area = 1/2 circle area
semicircle area = 1/2 × π × r²
semicircle area = 1/2 × 3.14 × 5²
semicircle area = 1/2 × 3.14 × 25
semicircle area = 39.25 cm²
Find the second semicircle area
Because the dimension of the second semicircle is congruent to the first semicircle, they have similar area measurement, 39.25 cm².
Find the quarter circle area
The area of quarter circle can be determined by dividing the full area of a circle by 4.
q circle = 1/4 × area of circle
q circle = 1/4 × π × r²
q circle = 1/4 × 3.14 × 10²
q circle = 1/4 × 314
q circle = 78.5 cm²
To find the entire area, add the area above together
area = first semicircle + second semicircle + q circle
area = 39.25 + 39.25 + 78.5
area = 157
The area of shaded region is 157 cm²
Answer: Proportional
Step-by-step explanation: To determine whether x and y have a proportional relationship, see if the line through these points passes through the origin (0, 0). The points are on a line that passes through the origin. So, x and y have a proportional relationship
Cos 105 will also be -0.26
csc 105 = 1.03
Answer:
9.5 = 8 + AB (M1)
Note: Award (M1) for correct substitution into Pythagoras’ theorem.
AB = 5.12 (cm) (5.12347…)
Step-by-step explanation:
The altitude is the mean proportional between the left and right parts of the hyptenuse
20/m = m/8
m² = 20 · 8
m² = 160
m = √160
m = 4√10
