Answer: area of the path alone is 178.98 ft²
Step-by-step explanation:
Since the circular garden is surrounded by a circular path, two circles are formed.
The formula for determining the area of a circle is expressed as
Area = πr²
Where
r represents the radius of the circle.
π is a constant whose value is 3.14
Considering the circular garden,
Radius = 8 ft
Area = 3.14 × 8² = 200.96 ft²
Considering the circular garden and the circular path together,
Radius = 8 + 3 = 11 ft
Area = 3.14 × 11² = 379.94 ft²
Area of the path alone is the circular garden and the circular path together - area of circular path
It becomes
379.94 - 200.96 = 178.98 ft²
Step-by-step explanation:
Statements
1.OD=OC OB=OA
2. measure of DOB equal m COA
3.Triangle DOB is congruent to triangle COA
4.BD equal CA
Reasons
1.radii of same circle is equal
2. Vertical angles are equal
3.SAS
4.CPCTC
The area of a rhombus is the product of the diagonals divided by 2. In this question, the diagonals are given, so that's really easy. Let's convert the measures to meters, that'll help for the final area calculation:
Area of one rhombus: (0.52x0.30)/2 = 0.078 m²
In 60 m², you can fit 60/0.078 tiles. That's 769.23, rounded to 770 since you'll have to cut up the last tile.
Step 1: Start with the following:
(a + b + c)(d + e)
Step 2: Distribute (d + e) to each of the term in the first parenthesis
a(d + e) + b(d + e) + c(d + e)
Step 3: Distribute d and e to each term:
(ad + ae) + (bd + be) + (cd + ce)
or ad + ae + bd + be + cd + ce without the parentheses.
Step 4: Finally, simplify.