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Lesson Example Discussion Quiz: Class Homework

Example

Title: Semi-circles

Grade: 8-a Lesson: S4-L5

Explanation: Here are some examples of the topic with images and steps in sequence.

Examples:

Example: 1a

Find the diameter of a semicircle with an radius is 6cm?

Radius of a semicircle (r)= 6cm
Diameter of a semicircle = \$2 \times r\$
= \$2 \times 6\$ = 12cm

Explanation: In the above problem, the radius of a semicircle is 6cm, and the diameter of a semicircle is 12cm(The diameter of a semicircle is \$2 \times r\$).

Example: 2a

Find the diameter of a semicircle with a circumference of 35πcm?

Circumference of a semicircle = 35πcm
Diameter of a semicircle(d) = \$(2 ×"circumference"π)/π\$
=\$(2 × 35\cancelπ )/\cancelπ\$
d = \$2 \times 35 = 70cm\$

Explanation: In the above problem, the circumference of a semicircle is 35πcm.By using the formula Diameter =\$(2 ×"circumference"π)/π\$. The Diameter of a semicircle is 70cm.

Example: 3a

Find the diameter of a semicircle if the perimeter of semicircle is 144 units.

Perimeter of a semicircle = 144 units
Perimeter of a semicircle = (π + 2)r
144 = (3.14 + 2)r
144 = 5.14r
r = \$144/5.14\$
r = 28 units
Radius of a semicircle (r) = 28 units
Diameter of a semicircle (d) = \$2 \times r\$
d = \$2 \times 28\$
d = 56 units

Explanation: In the above problem, the perimeter of a semicircle is 144 units, and its radius is 28 units. Using the formula \$d = 2 \times r\$, the diameter of a semicircle is 56 units.